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Finding the Fourth Proportional to 250.65, 375.92 and 113.61

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Solution

The fourth proportional to 250.65, 375.92 and 113.61 is: 170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.65 : 375.92 = 113.61 : x
  2. Step 2: Convert to fraction form
    250.65/375.92 = 113.61/x
  3. Step 3: Cross multiply
    250.65x = 375.92 × 113.61
  4. Step 4: Simplify right side
    250.65x = 42,706.39
  5. Step 5: Solve for x
    x = 42,706.39/250.65
  6. Step 6: Final answer
    x = 170.38

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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.