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Finding the Fourth Proportional to 252.72, 378.14 and 150.03

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Solution

The fourth proportional to 252.72, 378.14 and 150.03 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 378.14 = 150.03 : x
  2. Step 2: Convert to fraction form
    252.72/378.14 = 150.03/x
  3. Step 3: Cross multiply
    252.72x = 378.14 × 150.03
  4. Step 4: Simplify right side
    252.72x = 56,731.59
  5. Step 5: Solve for x
    x = 56,731.59/252.72
  6. Step 6: Final answer
    x = 224.48

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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.