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Finding the Fourth Proportional to 249.72, 344.56 and 151.48

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Solution

The fourth proportional to 249.72, 344.56 and 151.48 is: 209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 344.56 = 151.48 : x
  2. Step 2: Convert to fraction form
    249.72/344.56 = 151.48/x
  3. Step 3: Cross multiply
    249.72x = 344.56 × 151.48
  4. Step 4: Simplify right side
    249.72x = 52,193.95
  5. Step 5: Solve for x
    x = 52,193.95/249.72
  6. Step 6: Final answer
    x = 209.01

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