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Finding the Fourth Proportional to 360.82, 542.12 and 230.87

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Solution

The fourth proportional to 360.82, 542.12 and 230.87 is: 346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 542.12 = 230.87 : x
  2. Step 2: Convert to fraction form
    360.82/542.12 = 230.87/x
  3. Step 3: Cross multiply
    360.82x = 542.12 × 230.87
  4. Step 4: Simplify right side
    360.82x = 125,160.41
  5. Step 5: Solve for x
    x = 125,160.41/360.82
  6. Step 6: Final answer
    x = 346.88

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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.