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Finding the Fourth Proportional to 220.51, 330.78 and 76.18

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Solution

The fourth proportional to 220.51, 330.78 and 76.18 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.51 : 330.78 = 76.18 : x
  2. Step 2: Convert to fraction form
    220.51/330.78 = 76.18/x
  3. Step 3: Cross multiply
    220.51x = 330.78 × 76.18
  4. Step 4: Simplify right side
    220.51x = 25,198.82
  5. Step 5: Solve for x
    x = 25,198.82/220.51
  6. Step 6: Final answer
    x = 114.28

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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.