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Finding the Fourth Proportional to 220.88, 330.96 and 159.84

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Solution

The fourth proportional to 220.88, 330.96 and 159.84 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.88 : 330.96 = 159.84 : x
  2. Step 2: Convert to fraction form
    220.88/330.96 = 159.84/x
  3. Step 3: Cross multiply
    220.88x = 330.96 × 159.84
  4. Step 4: Simplify right side
    220.88x = 52,900.65
  5. Step 5: Solve for x
    x = 52,900.65/220.88
  6. Step 6: Final answer
    x = 239.50

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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.