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Finding the Fourth Proportional to 225.43, 338.16 and 71.38

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Solution

The fourth proportional to 225.43, 338.16 and 71.38 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.43 : 338.16 = 71.38 : x
  2. Step 2: Convert to fraction form
    225.43/338.16 = 71.38/x
  3. Step 3: Cross multiply
    225.43x = 338.16 × 71.38
  4. Step 4: Simplify right side
    225.43x = 24,137.86
  5. Step 5: Solve for x
    x = 24,137.86/225.43
  6. Step 6: Final answer
    x = 107.07

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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.