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Finding the Fourth Proportional to 576.10, 864.20 and 186.14

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Solution

The fourth proportional to 576.10, 864.20 and 186.14 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 864.20 = 186.14 : x
  2. Step 2: Convert to fraction form
    576.10/864.20 = 186.14/x
  3. Step 3: Cross multiply
    576.10x = 864.20 × 186.14
  4. Step 4: Simplify right side
    576.10x = 160,862.19
  5. Step 5: Solve for x
    x = 160,862.19/576.10
  6. Step 6: Final answer
    x = 279.23

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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.