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Finding the Fourth Proportional to 543.20, 814.61 and 177.90

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Solution

The fourth proportional to 543.20, 814.61 and 177.90 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.20 : 814.61 = 177.90 : x
  2. Step 2: Convert to fraction form
    543.20/814.61 = 177.90/x
  3. Step 3: Cross multiply
    543.20x = 814.61 × 177.90
  4. Step 4: Simplify right side
    543.20x = 144,919.12
  5. Step 5: Solve for x
    x = 144,919.12/543.20
  6. Step 6: Final answer
    x = 266.79

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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.