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Finding the Fourth Proportional to 220.64, 330.96 and 76.36

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Solution

The fourth proportional to 220.64, 330.96 and 76.36 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.64 : 330.96 = 76.36 : x
  2. Step 2: Convert to fraction form
    220.64/330.96 = 76.36/x
  3. Step 3: Cross multiply
    220.64x = 330.96 × 76.36
  4. Step 4: Simplify right side
    220.64x = 25,271.97
  5. Step 5: Solve for x
    x = 25,271.97/220.64
  6. Step 6: Final answer
    x = 114.54

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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.