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Finding the Fourth Proportional to 391.26, 586.89 and 160.11

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Solution

The fourth proportional to 391.26, 586.89 and 160.11 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.26 : 586.89 = 160.11 : x
  2. Step 2: Convert to fraction form
    391.26/586.89 = 160.11/x
  3. Step 3: Cross multiply
    391.26x = 586.89 × 160.11
  4. Step 4: Simplify right side
    391.26x = 93,966.96
  5. Step 5: Solve for x
    x = 93,966.96/391.26
  6. Step 6: Final answer
    x = 240.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.