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Finding the Fourth Proportional to 142.41, 196.76 and 131.48

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Solution

The fourth proportional to 142.41, 196.76 and 131.48 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.41 : 196.76 = 131.48 : x
  2. Step 2: Convert to fraction form
    142.41/196.76 = 131.48/x
  3. Step 3: Cross multiply
    142.41x = 196.76 × 131.48
  4. Step 4: Simplify right side
    142.41x = 25,870.00
  5. Step 5: Solve for x
    x = 25,870.00/142.41
  6. Step 6: Final answer
    x = 181.66

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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.