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Finding the Fourth Proportional to 220.39, 330.51 and 159.34

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Solution

The fourth proportional to 220.39, 330.51 and 159.34 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.39 : 330.51 = 159.34 : x
  2. Step 2: Convert to fraction form
    220.39/330.51 = 159.34/x
  3. Step 3: Cross multiply
    220.39x = 330.51 × 159.34
  4. Step 4: Simplify right side
    220.39x = 52,663.46
  5. Step 5: Solve for x
    x = 52,663.46/220.39
  6. Step 6: Final answer
    x = 238.96

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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.