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Finding the Fourth Proportional to 226.59, 312.70 and 123.09

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Solution

The fourth proportional to 226.59, 312.70 and 123.09 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 312.70 = 123.09 : x
  2. Step 2: Convert to fraction form
    226.59/312.70 = 123.09/x
  3. Step 3: Cross multiply
    226.59x = 312.70 × 123.09
  4. Step 4: Simplify right side
    226.59x = 38,490.24
  5. Step 5: Solve for x
    x = 38,490.24/226.59
  6. Step 6: Final answer
    x = 169.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.