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Finding the Fourth Proportional to 223.91, 336.38 and 159.07

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Solution

The fourth proportional to 223.91, 336.38 and 159.07 is: 238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.91 : 336.38 = 159.07 : x
  2. Step 2: Convert to fraction form
    223.91/336.38 = 159.07/x
  3. Step 3: Cross multiply
    223.91x = 336.38 × 159.07
  4. Step 4: Simplify right side
    223.91x = 53,507.97
  5. Step 5: Solve for x
    x = 53,507.97/223.91
  6. Step 6: Final answer
    x = 238.97

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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.