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Finding the Fourth Proportional to 225.52, 337.50 and 138.82

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Solution

The fourth proportional to 225.52, 337.50 and 138.82 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 337.50 = 138.82 : x
  2. Step 2: Convert to fraction form
    225.52/337.50 = 138.82/x
  3. Step 3: Cross multiply
    225.52x = 337.50 × 138.82
  4. Step 4: Simplify right side
    225.52x = 46,851.75
  5. Step 5: Solve for x
    x = 46,851.75/225.52
  6. Step 6: Final answer
    x = 207.75

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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.