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Finding the Fourth Proportional to 527.38, 791.18 and 180.74

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Solution

The fourth proportional to 527.38, 791.18 and 180.74 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.38 : 791.18 = 180.74 : x
  2. Step 2: Convert to fraction form
    527.38/791.18 = 180.74/x
  3. Step 3: Cross multiply
    527.38x = 791.18 × 180.74
  4. Step 4: Simplify right side
    527.38x = 142,997.87
  5. Step 5: Solve for x
    x = 142,997.87/527.38
  6. Step 6: Final answer
    x = 271.15

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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.