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Finding the Fourth Proportional to 225.42, 338.08 and 71.30

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Solution

The fourth proportional to 225.42, 338.08 and 71.30 is: 106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 338.08 = 71.30 : x
  2. Step 2: Convert to fraction form
    225.42/338.08 = 71.30/x
  3. Step 3: Cross multiply
    225.42x = 338.08 × 71.30
  4. Step 4: Simplify right side
    225.42x = 24,105.10
  5. Step 5: Solve for x
    x = 24,105.10/225.42
  6. Step 6: Final answer
    x = 106.93

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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.