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Finding the Fourth Proportional to 252.60, 378.40 and 144.08

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Solution

The fourth proportional to 252.60, 378.40 and 144.08 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 378.40 = 144.08 : x
  2. Step 2: Convert to fraction form
    252.60/378.40 = 144.08/x
  3. Step 3: Cross multiply
    252.60x = 378.40 × 144.08
  4. Step 4: Simplify right side
    252.60x = 54,519.87
  5. Step 5: Solve for x
    x = 54,519.87/252.60
  6. Step 6: Final answer
    x = 215.83

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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.