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Finding the Fourth Proportional to 337.18, 465.32 and 226.70

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Solution

The fourth proportional to 337.18, 465.32 and 226.70 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.18 : 465.32 = 226.70 : x
  2. Step 2: Convert to fraction form
    337.18/465.32 = 226.70/x
  3. Step 3: Cross multiply
    337.18x = 465.32 × 226.70
  4. Step 4: Simplify right side
    337.18x = 105,488.04
  5. Step 5: Solve for x
    x = 105,488.04/337.18
  6. Step 6: Final answer
    x = 312.85

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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.