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Finding the Fourth Proportional to 418.14, 626.78 and 144.08

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Solution

The fourth proportional to 418.14, 626.78 and 144.08 is: 215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 626.78 = 144.08 : x
  2. Step 2: Convert to fraction form
    418.14/626.78 = 144.08/x
  3. Step 3: Cross multiply
    418.14x = 626.78 × 144.08
  4. Step 4: Simplify right side
    418.14x = 90,306.46
  5. Step 5: Solve for x
    x = 90,306.46/418.14
  6. Step 6: Final answer
    x = 215.97

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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.