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Finding the Fourth Proportional to 249.47, 373.13 and 180.21

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Solution

The fourth proportional to 249.47, 373.13 and 180.21 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.47 : 373.13 = 180.21 : x
  2. Step 2: Convert to fraction form
    249.47/373.13 = 180.21/x
  3. Step 3: Cross multiply
    249.47x = 373.13 × 180.21
  4. Step 4: Simplify right side
    249.47x = 67,240.86
  5. Step 5: Solve for x
    x = 67,240.86/249.47
  6. Step 6: Final answer
    x = 269.54

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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.