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Finding the Fourth Proportional to 252.74, 378.56 and 144.20

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Solution

The fourth proportional to 252.74, 378.56 and 144.20 is: 215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.74 : 378.56 = 144.20 : x
  2. Step 2: Convert to fraction form
    252.74/378.56 = 144.20/x
  3. Step 3: Cross multiply
    252.74x = 378.56 × 144.20
  4. Step 4: Simplify right side
    252.74x = 54,588.35
  5. Step 5: Solve for x
    x = 54,588.35/252.74
  6. Step 6: Final answer
    x = 215.99

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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.