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Finding the Fourth Proportional to 567.43, 851.13 and 156.58

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Solution

The fourth proportional to 567.43, 851.13 and 156.58 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 851.13 = 156.58 : x
  2. Step 2: Convert to fraction form
    567.43/851.13 = 156.58/x
  3. Step 3: Cross multiply
    567.43x = 851.13 × 156.58
  4. Step 4: Simplify right side
    567.43x = 133,265.68
  5. Step 5: Solve for x
    x = 133,265.68/567.43
  6. Step 6: Final answer
    x = 234.86

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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.