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Finding the Fourth Proportional to 417.38, 626.36 and 160.88

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Solution

The fourth proportional to 417.38, 626.36 and 160.88 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 626.36 = 160.88 : x
  2. Step 2: Convert to fraction form
    417.38/626.36 = 160.88/x
  3. Step 3: Cross multiply
    417.38x = 626.36 × 160.88
  4. Step 4: Simplify right side
    417.38x = 100,764.86
  5. Step 5: Solve for x
    x = 100,764.86/417.38
  6. Step 6: Final answer
    x = 241.43

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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.