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Finding the Fourth Proportional to 143.44, 198.10 and 114.54

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Solution

The fourth proportional to 143.44, 198.10 and 114.54 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 198.10 = 114.54 : x
  2. Step 2: Convert to fraction form
    143.44/198.10 = 114.54/x
  3. Step 3: Cross multiply
    143.44x = 198.10 × 114.54
  4. Step 4: Simplify right side
    143.44x = 22,690.37
  5. Step 5: Solve for x
    x = 22,690.37/143.44
  6. Step 6: Final answer
    x = 158.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.