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Finding the Fourth Proportional to 144.80, 200.08 and 140.96

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Solution

The fourth proportional to 144.80, 200.08 and 140.96 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 200.08 = 140.96 : x
  2. Step 2: Convert to fraction form
    144.80/200.08 = 140.96/x
  3. Step 3: Cross multiply
    144.80x = 200.08 × 140.96
  4. Step 4: Simplify right side
    144.80x = 28,203.28
  5. Step 5: Solve for x
    x = 28,203.28/144.80
  6. Step 6: Final answer
    x = 194.77

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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.