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Finding the Fourth Proportional to 142.60, 196.76 and 132.82

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Solution

The fourth proportional to 142.60, 196.76 and 132.82 is: 183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.60 : 196.76 = 132.82 : x
  2. Step 2: Convert to fraction form
    142.60/196.76 = 132.82/x
  3. Step 3: Cross multiply
    142.60x = 196.76 × 132.82
  4. Step 4: Simplify right side
    142.60x = 26,133.66
  5. Step 5: Solve for x
    x = 26,133.66/142.60
  6. Step 6: Final answer
    x = 183.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.