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Finding the Fourth Proportional to 238.40, 329.14 and 159.82

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Solution

The fourth proportional to 238.40, 329.14 and 159.82 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.40 : 329.14 = 159.82 : x
  2. Step 2: Convert to fraction form
    238.40/329.14 = 159.82/x
  3. Step 3: Cross multiply
    238.40x = 329.14 × 159.82
  4. Step 4: Simplify right side
    238.40x = 52,603.15
  5. Step 5: Solve for x
    x = 52,603.15/238.40
  6. Step 6: Final answer
    x = 220.65

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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.