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Finding the Fourth Proportional to 233.38, 322.15 and 159.68

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Solution

The fourth proportional to 233.38, 322.15 and 159.68 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 322.15 = 159.68 : x
  2. Step 2: Convert to fraction form
    233.38/322.15 = 159.68/x
  3. Step 3: Cross multiply
    233.38x = 322.15 × 159.68
  4. Step 4: Simplify right side
    233.38x = 51,440.91
  5. Step 5: Solve for x
    x = 51,440.91/233.38
  6. Step 6: Final answer
    x = 220.42

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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.