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Finding the Fourth Proportional to 391.05, 586.16 and 160.10

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Solution

The fourth proportional to 391.05, 586.16 and 160.10 is: 239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.05 : 586.16 = 160.10 : x
  2. Step 2: Convert to fraction form
    391.05/586.16 = 160.10/x
  3. Step 3: Cross multiply
    391.05x = 586.16 × 160.10
  4. Step 4: Simplify right side
    391.05x = 93,840.48
  5. Step 5: Solve for x
    x = 93,840.48/391.05
  6. Step 6: Final answer
    x = 239.97

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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.