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Finding the Fourth Proportional to 343.68, 474.11 and 225.61

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Solution

The fourth proportional to 343.68, 474.11 and 225.61 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 474.11 = 225.61 : x
  2. Step 2: Convert to fraction form
    343.68/474.11 = 225.61/x
  3. Step 3: Cross multiply
    343.68x = 474.11 × 225.61
  4. Step 4: Simplify right side
    343.68x = 106,963.34
  5. Step 5: Solve for x
    x = 106,963.34/343.68
  6. Step 6: Final answer
    x = 311.23

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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.