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Finding the Fourth Proportional to 220.57, 330.89 and 83.53

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Solution

The fourth proportional to 220.57, 330.89 and 83.53 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.57 : 330.89 = 83.53 : x
  2. Step 2: Convert to fraction form
    220.57/330.89 = 83.53/x
  3. Step 3: Cross multiply
    220.57x = 330.89 × 83.53
  4. Step 4: Simplify right side
    220.57x = 27,639.24
  5. Step 5: Solve for x
    x = 27,639.24/220.57
  6. Step 6: Final answer
    x = 125.31

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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.