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Finding the Fourth Proportional to 391.04, 586.56 and 147.46

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Solution

The fourth proportional to 391.04, 586.56 and 147.46 is: 221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.04 : 586.56 = 147.46 : x
  2. Step 2: Convert to fraction form
    391.04/586.56 = 147.46/x
  3. Step 3: Cross multiply
    391.04x = 586.56 × 147.46
  4. Step 4: Simplify right side
    391.04x = 86,494.14
  5. Step 5: Solve for x
    x = 86,494.14/391.04
  6. Step 6: Final answer
    x = 221.19

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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.