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Finding the Fourth Proportional to 225.68, 338.84 and 97.52

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Solution

The fourth proportional to 225.68, 338.84 and 97.52 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.68 : 338.84 = 97.52 : x
  2. Step 2: Convert to fraction form
    225.68/338.84 = 97.52/x
  3. Step 3: Cross multiply
    225.68x = 338.84 × 97.52
  4. Step 4: Simplify right side
    225.68x = 33,043.68
  5. Step 5: Solve for x
    x = 33,043.68/225.68
  6. Step 6: Final answer
    x = 146.42

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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.