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Finding the Fourth Proportional to 226.58, 312.68 and 123.08

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Solution

The fourth proportional to 226.58, 312.68 and 123.08 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 312.68 = 123.08 : x
  2. Step 2: Convert to fraction form
    226.58/312.68 = 123.08/x
  3. Step 3: Cross multiply
    226.58x = 312.68 × 123.08
  4. Step 4: Simplify right side
    226.58x = 38,484.65
  5. Step 5: Solve for x
    x = 38,484.65/226.58
  6. Step 6: Final answer
    x = 169.85

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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.