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Finding the Fourth Proportional to 144.96, 215.68 and 140.48

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Solution

The fourth proportional to 144.96, 215.68 and 140.48 is: 209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 215.68 = 140.48 : x
  2. Step 2: Convert to fraction form
    144.96/215.68 = 140.48/x
  3. Step 3: Cross multiply
    144.96x = 215.68 × 140.48
  4. Step 4: Simplify right side
    144.96x = 30,298.73
  5. Step 5: Solve for x
    x = 30,298.73/144.96
  6. Step 6: Final answer
    x = 209.01

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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.