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Finding the Fourth Proportional to 226.17, 337.46 and 207.95

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Solution

The fourth proportional to 226.17, 337.46 and 207.95 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.17 : 337.46 = 207.95 : x
  2. Step 2: Convert to fraction form
    226.17/337.46 = 207.95/x
  3. Step 3: Cross multiply
    226.17x = 337.46 × 207.95
  4. Step 4: Simplify right side
    226.17x = 70,172.08
  5. Step 5: Solve for x
    x = 70,172.08/226.17
  6. Step 6: Final answer
    x = 310.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.