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Finding the Fourth Proportional to 225.38, 338.16 and 103.66

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Solution

The fourth proportional to 225.38, 338.16 and 103.66 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 338.16 = 103.66 : x
  2. Step 2: Convert to fraction form
    225.38/338.16 = 103.66/x
  3. Step 3: Cross multiply
    225.38x = 338.16 × 103.66
  4. Step 4: Simplify right side
    225.38x = 35,053.67
  5. Step 5: Solve for x
    x = 35,053.67/225.38
  6. Step 6: Final answer
    x = 155.53

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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.