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Finding the Fourth Proportional to 146.57, 219.39 and 78

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Solution

The fourth proportional to 146.57, 219.39 and 78 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 219.39 = 78 : x
  2. Step 2: Convert to fraction form
    146.57/219.39 = 78/x
  3. Step 3: Cross multiply
    146.57x = 219.39 × 78
  4. Step 4: Simplify right side
    146.57x = 17,112.42
  5. Step 5: Solve for x
    x = 17,112.42/146.57
  6. Step 6: Final answer
    x = 116.76

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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.