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Finding the Fourth Proportional to 144.97, 216.19 and 133.16

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Solution

The fourth proportional to 144.97, 216.19 and 133.16 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.97 : 216.19 = 133.16 : x
  2. Step 2: Convert to fraction form
    144.97/216.19 = 133.16/x
  3. Step 3: Cross multiply
    144.97x = 216.19 × 133.16
  4. Step 4: Simplify right side
    144.97x = 28,786.95
  5. Step 5: Solve for x
    x = 28,786.95/144.97
  6. Step 6: Final answer
    x = 198.58

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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.