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Finding the Fourth Proportional to 143.59, 198.16 and 114.17

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Solution

The fourth proportional to 143.59, 198.16 and 114.17 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 198.16 = 114.17 : x
  2. Step 2: Convert to fraction form
    143.59/198.16 = 114.17/x
  3. Step 3: Cross multiply
    143.59x = 198.16 × 114.17
  4. Step 4: Simplify right side
    143.59x = 22,623.93
  5. Step 5: Solve for x
    x = 22,623.93/143.59
  6. Step 6: Final answer
    x = 157.56

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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.