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Finding the Fourth Proportional to 527.38, 791.08 and 162.12

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Solution

The fourth proportional to 527.38, 791.08 and 162.12 is: 243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.38 : 791.08 = 162.12 : x
  2. Step 2: Convert to fraction form
    527.38/791.08 = 162.12/x
  3. Step 3: Cross multiply
    527.38x = 791.08 × 162.12
  4. Step 4: Simplify right side
    527.38x = 128,249.89
  5. Step 5: Solve for x
    x = 128,249.89/527.38
  6. Step 6: Final answer
    x = 243.18

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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.