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Finding the Fourth Proportional to 140.80, 210.96 and 119.52

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Solution

The fourth proportional to 140.80, 210.96 and 119.52 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 210.96 = 119.52 : x
  2. Step 2: Convert to fraction form
    140.80/210.96 = 119.52/x
  3. Step 3: Cross multiply
    140.80x = 210.96 × 119.52
  4. Step 4: Simplify right side
    140.80x = 25,213.94
  5. Step 5: Solve for x
    x = 25,213.94/140.80
  6. Step 6: Final answer
    x = 179.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.