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Finding the Fourth Proportional to 225.42, 337.87 and 95.38

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Solution

The fourth proportional to 225.42, 337.87 and 95.38 is: 142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 337.87 = 95.38 : x
  2. Step 2: Convert to fraction form
    225.42/337.87 = 95.38/x
  3. Step 3: Cross multiply
    225.42x = 337.87 × 95.38
  4. Step 4: Simplify right side
    225.42x = 32,226.74
  5. Step 5: Solve for x
    x = 32,226.74/225.42
  6. Step 6: Final answer
    x = 142.96

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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.