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Finding the Fourth Proportional to 567.72, 851.59 and 177.71

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Solution

The fourth proportional to 567.72, 851.59 and 177.71 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 851.59 = 177.71 : x
  2. Step 2: Convert to fraction form
    567.72/851.59 = 177.71/x
  3. Step 3: Cross multiply
    567.72x = 851.59 × 177.71
  4. Step 4: Simplify right side
    567.72x = 151,332.02
  5. Step 5: Solve for x
    x = 151,332.02/567.72
  6. Step 6: Final answer
    x = 266.56

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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.