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Finding the Fourth Proportional to 143.62, 198.40 and 114.20

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Solution

The fourth proportional to 143.62, 198.40 and 114.20 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.62 : 198.40 = 114.20 : x
  2. Step 2: Convert to fraction form
    143.62/198.40 = 114.20/x
  3. Step 3: Cross multiply
    143.62x = 198.40 × 114.20
  4. Step 4: Simplify right side
    143.62x = 22,657.28
  5. Step 5: Solve for x
    x = 22,657.28/143.62
  6. Step 6: Final answer
    x = 157.76

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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.