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Finding the Fourth Proportional to 576.98, 865.48 and 166.13

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Solution

The fourth proportional to 576.98, 865.48 and 166.13 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.98 : 865.48 = 166.13 : x
  2. Step 2: Convert to fraction form
    576.98/865.48 = 166.13/x
  3. Step 3: Cross multiply
    576.98x = 865.48 × 166.13
  4. Step 4: Simplify right side
    576.98x = 143,782.19
  5. Step 5: Solve for x
    x = 143,782.19/576.98
  6. Step 6: Final answer
    x = 249.20

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.