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Finding the Fourth Proportional to 146.85, 219.51 and 133.78

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Solution

The fourth proportional to 146.85, 219.51 and 133.78 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 219.51 = 133.78 : x
  2. Step 2: Convert to fraction form
    146.85/219.51 = 133.78/x
  3. Step 3: Cross multiply
    146.85x = 219.51 × 133.78
  4. Step 4: Simplify right side
    146.85x = 29,366.89
  5. Step 5: Solve for x
    x = 29,366.89/146.85
  6. Step 6: Final answer
    x = 199.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.