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Finding the Fourth Proportional to 226.50, 312.57 and 123

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Solution

The fourth proportional to 226.50, 312.57 and 123 is: 169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 312.57 = 123 : x
  2. Step 2: Convert to fraction form
    226.50/312.57 = 123/x
  3. Step 3: Cross multiply
    226.50x = 312.57 × 123
  4. Step 4: Simplify right side
    226.50x = 38,446.11
  5. Step 5: Solve for x
    x = 38,446.11/226.50
  6. Step 6: Final answer
    x = 169.74

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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.