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Finding the Fourth Proportional to 250.47, 375.69 and 106.08

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Solution

The fourth proportional to 250.47, 375.69 and 106.08 is: 159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.47 : 375.69 = 106.08 : x
  2. Step 2: Convert to fraction form
    250.47/375.69 = 106.08/x
  3. Step 3: Cross multiply
    250.47x = 375.69 × 106.08
  4. Step 4: Simplify right side
    250.47x = 39,853.20
  5. Step 5: Solve for x
    x = 39,853.20/250.47
  6. Step 6: Final answer
    x = 159.11

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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.