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Finding the Fourth Proportional to 142.16, 196.26 and 132.44

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Solution

The fourth proportional to 142.16, 196.26 and 132.44 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 196.26 = 132.44 : x
  2. Step 2: Convert to fraction form
    142.16/196.26 = 132.44/x
  3. Step 3: Cross multiply
    142.16x = 196.26 × 132.44
  4. Step 4: Simplify right side
    142.16x = 25,992.67
  5. Step 5: Solve for x
    x = 25,992.67/142.16
  6. Step 6: Final answer
    x = 182.84

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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.