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Finding the Fourth Proportional to 146.81, 219.07 and 133.18

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Solution

The fourth proportional to 146.81, 219.07 and 133.18 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 219.07 = 133.18 : x
  2. Step 2: Convert to fraction form
    146.81/219.07 = 133.18/x
  3. Step 3: Cross multiply
    146.81x = 219.07 × 133.18
  4. Step 4: Simplify right side
    146.81x = 29,175.36
  5. Step 5: Solve for x
    x = 29,175.36/146.81
  6. Step 6: Final answer
    x = 198.73

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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.