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Finding the Fourth Proportional to 143.02, 213.18 and 132.08

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Solution

The fourth proportional to 143.02, 213.18 and 132.08 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 213.18 = 132.08 : x
  2. Step 2: Convert to fraction form
    143.02/213.18 = 132.08/x
  3. Step 3: Cross multiply
    143.02x = 213.18 × 132.08
  4. Step 4: Simplify right side
    143.02x = 28,156.81
  5. Step 5: Solve for x
    x = 28,156.81/143.02
  6. Step 6: Final answer
    x = 196.87

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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.