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Finding the Fourth Proportional to 331.38, 457.24 and 225.08

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Solution

The fourth proportional to 331.38, 457.24 and 225.08 is: 310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 457.24 = 225.08 : x
  2. Step 2: Convert to fraction form
    331.38/457.24 = 225.08/x
  3. Step 3: Cross multiply
    331.38x = 457.24 × 225.08
  4. Step 4: Simplify right side
    331.38x = 102,916.16
  5. Step 5: Solve for x
    x = 102,916.16/331.38
  6. Step 6: Final answer
    x = 310.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.