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Finding the Fourth Proportional to 226.17, 312.14 and 126.60

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Solution

The fourth proportional to 226.17, 312.14 and 126.60 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.17 : 312.14 = 126.60 : x
  2. Step 2: Convert to fraction form
    226.17/312.14 = 126.60/x
  3. Step 3: Cross multiply
    226.17x = 312.14 × 126.60
  4. Step 4: Simplify right side
    226.17x = 39,516.29
  5. Step 5: Solve for x
    x = 39,516.29/226.17
  6. Step 6: Final answer
    x = 174.72

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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.