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Finding the Fourth Proportional to 223.92, 336.74 and 159.12

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Solution

The fourth proportional to 223.92, 336.74 and 159.12 is: 239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 336.74 = 159.12 : x
  2. Step 2: Convert to fraction form
    223.92/336.74 = 159.12/x
  3. Step 3: Cross multiply
    223.92x = 336.74 × 159.12
  4. Step 4: Simplify right side
    223.92x = 53,581.27
  5. Step 5: Solve for x
    x = 53,581.27/223.92
  6. Step 6: Final answer
    x = 239.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.