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Finding the Fourth Proportional to 252.53, 378.80 and 150.47

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Solution

The fourth proportional to 252.53, 378.80 and 150.47 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.53 : 378.80 = 150.47 : x
  2. Step 2: Convert to fraction form
    252.53/378.80 = 150.47/x
  3. Step 3: Cross multiply
    252.53x = 378.80 × 150.47
  4. Step 4: Simplify right side
    252.53x = 56,998.04
  5. Step 5: Solve for x
    x = 56,998.04/252.53
  6. Step 6: Final answer
    x = 225.71

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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.