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Finding the Fourth Proportional to 543.05, 814.30 and 177.74

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Solution

The fourth proportional to 543.05, 814.30 and 177.74 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.05 : 814.30 = 177.74 : x
  2. Step 2: Convert to fraction form
    543.05/814.30 = 177.74/x
  3. Step 3: Cross multiply
    543.05x = 814.30 × 177.74
  4. Step 4: Simplify right side
    543.05x = 144,729.17
  5. Step 5: Solve for x
    x = 144,729.17/543.05
  6. Step 6: Final answer
    x = 266.51

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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.