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Finding the Fourth Proportional to 249.10, 373.88 and 180.46

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Solution

The fourth proportional to 249.10, 373.88 and 180.46 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.10 : 373.88 = 180.46 : x
  2. Step 2: Convert to fraction form
    249.10/373.88 = 180.46/x
  3. Step 3: Cross multiply
    249.10x = 373.88 × 180.46
  4. Step 4: Simplify right side
    249.10x = 67,470.38
  5. Step 5: Solve for x
    x = 67,470.38/249.10
  6. Step 6: Final answer
    x = 270.86

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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.