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Finding the Fourth Proportional to 577.16, 865.64 and 166.20

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Solution

The fourth proportional to 577.16, 865.64 and 166.20 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 865.64 = 166.20 : x
  2. Step 2: Convert to fraction form
    577.16/865.64 = 166.20/x
  3. Step 3: Cross multiply
    577.16x = 865.64 × 166.20
  4. Step 4: Simplify right side
    577.16x = 143,864.21
  5. Step 5: Solve for x
    x = 143,864.21/577.16
  6. Step 6: Final answer
    x = 249.26

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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.