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Finding the Fourth Proportional to 391.42, 587.13 and 134.92

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Solution

The fourth proportional to 391.42, 587.13 and 134.92 is: 202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.42 : 587.13 = 134.92 : x
  2. Step 2: Convert to fraction form
    391.42/587.13 = 134.92/x
  3. Step 3: Cross multiply
    391.42x = 587.13 × 134.92
  4. Step 4: Simplify right side
    391.42x = 79,215.58
  5. Step 5: Solve for x
    x = 79,215.58/391.42
  6. Step 6: Final answer
    x = 202.38

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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.