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Finding the Fourth Proportional to 148.80, 205.56 and 116.46

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Solution

The fourth proportional to 148.80, 205.56 and 116.46 is: 160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.80 : 205.56 = 116.46 : x
  2. Step 2: Convert to fraction form
    148.80/205.56 = 116.46/x
  3. Step 3: Cross multiply
    148.80x = 205.56 × 116.46
  4. Step 4: Simplify right side
    148.80x = 23,939.52
  5. Step 5: Solve for x
    x = 23,939.52/148.80
  6. Step 6: Final answer
    x = 160.88

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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.