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Finding the Fourth Proportional to 144.66, 200.31 and 141.66

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Solution

The fourth proportional to 144.66, 200.31 and 141.66 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 200.31 = 141.66 : x
  2. Step 2: Convert to fraction form
    144.66/200.31 = 141.66/x
  3. Step 3: Cross multiply
    144.66x = 200.31 × 141.66
  4. Step 4: Simplify right side
    144.66x = 28,375.91
  5. Step 5: Solve for x
    x = 28,375.91/144.66
  6. Step 6: Final answer
    x = 196.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.