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Finding the Fourth Proportional to 146.27, 219.34 and 77.78

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Solution

The fourth proportional to 146.27, 219.34 and 77.78 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 219.34 = 77.78 : x
  2. Step 2: Convert to fraction form
    146.27/219.34 = 77.78/x
  3. Step 3: Cross multiply
    146.27x = 219.34 × 77.78
  4. Step 4: Simplify right side
    146.27x = 17,060.09
  5. Step 5: Solve for x
    x = 17,060.09/146.27
  6. Step 6: Final answer
    x = 116.63

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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.