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Finding the Fourth Proportional to 567.65, 851.13 and 177.54

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Solution

The fourth proportional to 567.65, 851.13 and 177.54 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.65 : 851.13 = 177.54 : x
  2. Step 2: Convert to fraction form
    567.65/851.13 = 177.54/x
  3. Step 3: Cross multiply
    567.65x = 851.13 × 177.54
  4. Step 4: Simplify right side
    567.65x = 151,109.62
  5. Step 5: Solve for x
    x = 151,109.62/567.65
  6. Step 6: Final answer
    x = 266.20

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