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Finding the Fourth Proportional to 425.43, 638.06 and 117.20

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Solution

The fourth proportional to 425.43, 638.06 and 117.20 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.43 : 638.06 = 117.20 : x
  2. Step 2: Convert to fraction form
    425.43/638.06 = 117.20/x
  3. Step 3: Cross multiply
    425.43x = 638.06 × 117.20
  4. Step 4: Simplify right side
    425.43x = 74,782.88
  5. Step 5: Solve for x
    x = 74,782.88/425.43
  6. Step 6: Final answer
    x = 175.78

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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.