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Finding the Fourth Proportional to 147.98, 220.84 and 131.78

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Solution

The fourth proportional to 147.98, 220.84 and 131.78 is: 196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 220.84 = 131.78 : x
  2. Step 2: Convert to fraction form
    147.98/220.84 = 131.78/x
  3. Step 3: Cross multiply
    147.98x = 220.84 × 131.78
  4. Step 4: Simplify right side
    147.98x = 29,102.30
  5. Step 5: Solve for x
    x = 29,102.30/147.98
  6. Step 6: Final answer
    x = 196.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.