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Finding the Fourth Proportional to 252.22, 378.45 and 144.07

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Solution

The fourth proportional to 252.22, 378.45 and 144.07 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.22 : 378.45 = 144.07 : x
  2. Step 2: Convert to fraction form
    252.22/378.45 = 144.07/x
  3. Step 3: Cross multiply
    252.22x = 378.45 × 144.07
  4. Step 4: Simplify right side
    252.22x = 54,523.29
  5. Step 5: Solve for x
    x = 54,523.29/252.22
  6. Step 6: Final answer
    x = 216.17

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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.