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Finding the Fourth Proportional to 249.53, 374.30 and 147.53

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Solution

The fourth proportional to 249.53, 374.30 and 147.53 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.53 : 374.30 = 147.53 : x
  2. Step 2: Convert to fraction form
    249.53/374.30 = 147.53/x
  3. Step 3: Cross multiply
    249.53x = 374.30 × 147.53
  4. Step 4: Simplify right side
    249.53x = 55,220.48
  5. Step 5: Solve for x
    x = 55,220.48/249.53
  6. Step 6: Final answer
    x = 221.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.