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Finding the Fourth Proportional to 144.68, 218.15 and 132.68

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Solution

The fourth proportional to 144.68, 218.15 and 132.68 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.68 : 218.15 = 132.68 : x
  2. Step 2: Convert to fraction form
    144.68/218.15 = 132.68/x
  3. Step 3: Cross multiply
    144.68x = 218.15 × 132.68
  4. Step 4: Simplify right side
    144.68x = 28,944.14
  5. Step 5: Solve for x
    x = 28,944.14/144.68
  6. Step 6: Final answer
    x = 200.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.