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Finding the Fourth Proportional to 220.38, 330.63 and 76.06

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Solution

The fourth proportional to 220.38, 330.63 and 76.06 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 330.63 = 76.06 : x
  2. Step 2: Convert to fraction form
    220.38/330.63 = 76.06/x
  3. Step 3: Cross multiply
    220.38x = 330.63 × 76.06
  4. Step 4: Simplify right side
    220.38x = 25,147.72
  5. Step 5: Solve for x
    x = 25,147.72/220.38
  6. Step 6: Final answer
    x = 114.11

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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.