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Finding the Fourth Proportional to 249.65, 373.70 and 133.80

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Solution

The fourth proportional to 249.65, 373.70 and 133.80 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.65 : 373.70 = 133.80 : x
  2. Step 2: Convert to fraction form
    249.65/373.70 = 133.80/x
  3. Step 3: Cross multiply
    249.65x = 373.70 × 133.80
  4. Step 4: Simplify right side
    249.65x = 50,000.39
  5. Step 5: Solve for x
    x = 50,000.39/249.65
  6. Step 6: Final answer
    x = 200.29

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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.