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Finding the Fourth Proportional to 225.52, 338.28 and 103.76

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Solution

The fourth proportional to 225.52, 338.28 and 103.76 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 338.28 = 103.76 : x
  2. Step 2: Convert to fraction form
    225.52/338.28 = 103.76/x
  3. Step 3: Cross multiply
    225.52x = 338.28 × 103.76
  4. Step 4: Simplify right side
    225.52x = 35,099.93
  5. Step 5: Solve for x
    x = 35,099.93/225.52
  6. Step 6: Final answer
    x = 155.64

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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.