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Finding the Fourth Proportional to 226.43, 312.48 and 122.93

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Solution

The fourth proportional to 226.43, 312.48 and 122.93 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.43 : 312.48 = 122.93 : x
  2. Step 2: Convert to fraction form
    226.43/312.48 = 122.93/x
  3. Step 3: Cross multiply
    226.43x = 312.48 × 122.93
  4. Step 4: Simplify right side
    226.43x = 38,412.55
  5. Step 5: Solve for x
    x = 38,412.55/226.43
  6. Step 6: Final answer
    x = 169.64

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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.