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Finding the Fourth Proportional to 225.39, 338.03 and 160.20

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Solution

The fourth proportional to 225.39, 338.03 and 160.20 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 338.03 = 160.20 : x
  2. Step 2: Convert to fraction form
    225.39/338.03 = 160.20/x
  3. Step 3: Cross multiply
    225.39x = 338.03 × 160.20
  4. Step 4: Simplify right side
    225.39x = 54,151.61
  5. Step 5: Solve for x
    x = 54,151.61/225.39
  6. Step 6: Final answer
    x = 240.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.