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Finding the Fourth Proportional to 143.50, 197.94 and 114.46

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Solution

The fourth proportional to 143.50, 197.94 and 114.46 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.50 : 197.94 = 114.46 : x
  2. Step 2: Convert to fraction form
    143.50/197.94 = 114.46/x
  3. Step 3: Cross multiply
    143.50x = 197.94 × 114.46
  4. Step 4: Simplify right side
    143.50x = 22,656.21
  5. Step 5: Solve for x
    x = 22,656.21/143.50
  6. Step 6: Final answer
    x = 157.88

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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.