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Finding the Fourth Proportional to 260.62, 391.15 and 123.70

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Solution

The fourth proportional to 260.62, 391.15 and 123.70 is: 185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.62 : 391.15 = 123.70 : x
  2. Step 2: Convert to fraction form
    260.62/391.15 = 123.70/x
  3. Step 3: Cross multiply
    260.62x = 391.15 × 123.70
  4. Step 4: Simplify right side
    260.62x = 48,386.61
  5. Step 5: Solve for x
    x = 48,386.61/260.62
  6. Step 6: Final answer
    x = 185.66

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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.