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Finding the Fourth Proportional to 249.38, 373.77 and 180.53

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Solution

The fourth proportional to 249.38, 373.77 and 180.53 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 373.77 = 180.53 : x
  2. Step 2: Convert to fraction form
    249.38/373.77 = 180.53/x
  3. Step 3: Cross multiply
    249.38x = 373.77 × 180.53
  4. Step 4: Simplify right side
    249.38x = 67,476.70
  5. Step 5: Solve for x
    x = 67,476.70/249.38
  6. Step 6: Final answer
    x = 270.58

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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.