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Finding the Fourth Proportional to 225.31, 337.85 and 109.76

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Solution

The fourth proportional to 225.31, 337.85 and 109.76 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.31 : 337.85 = 109.76 : x
  2. Step 2: Convert to fraction form
    225.31/337.85 = 109.76/x
  3. Step 3: Cross multiply
    225.31x = 337.85 × 109.76
  4. Step 4: Simplify right side
    225.31x = 37,082.42
  5. Step 5: Solve for x
    x = 37,082.42/225.31
  6. Step 6: Final answer
    x = 164.58

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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.