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Finding the Fourth Proportional to 249.74, 344.68 and 180.03

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Solution

The fourth proportional to 249.74, 344.68 and 180.03 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.74 : 344.68 = 180.03 : x
  2. Step 2: Convert to fraction form
    249.74/344.68 = 180.03/x
  3. Step 3: Cross multiply
    249.74x = 344.68 × 180.03
  4. Step 4: Simplify right side
    249.74x = 62,053.58
  5. Step 5: Solve for x
    x = 62,053.58/249.74
  6. Step 6: Final answer
    x = 248.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.