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Finding the Fourth Proportional to 226.79, 312.96 and 123.29

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Solution

The fourth proportional to 226.79, 312.96 and 123.29 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.79 : 312.96 = 123.29 : x
  2. Step 2: Convert to fraction form
    226.79/312.96 = 123.29/x
  3. Step 3: Cross multiply
    226.79x = 312.96 × 123.29
  4. Step 4: Simplify right side
    226.79x = 38,583.27
  5. Step 5: Solve for x
    x = 38,583.27/226.79
  6. Step 6: Final answer
    x = 170.13

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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.