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Finding the Fourth Proportional to 391.52, 587.10 and 148.04

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Solution

The fourth proportional to 391.52, 587.10 and 148.04 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.52 : 587.10 = 148.04 : x
  2. Step 2: Convert to fraction form
    391.52/587.10 = 148.04/x
  3. Step 3: Cross multiply
    391.52x = 587.10 × 148.04
  4. Step 4: Simplify right side
    391.52x = 86,914.28
  5. Step 5: Solve for x
    x = 86,914.28/391.52
  6. Step 6: Final answer
    x = 221.99

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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.