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Finding the Fourth Proportional to 391.68, 586.96 and 160.32

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Solution

The fourth proportional to 391.68, 586.96 and 160.32 is: 240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 586.96 = 160.32 : x
  2. Step 2: Convert to fraction form
    391.68/586.96 = 160.32/x
  3. Step 3: Cross multiply
    391.68x = 586.96 × 160.32
  4. Step 4: Simplify right side
    391.68x = 94,101.03
  5. Step 5: Solve for x
    x = 94,101.03/391.68
  6. Step 6: Final answer
    x = 240.25

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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.