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Finding the Fourth Proportional to 143.48, 197.76 and 108.50

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Solution

The fourth proportional to 143.48, 197.76 and 108.50 is: 149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.48 : 197.76 = 108.50 : x
  2. Step 2: Convert to fraction form
    143.48/197.76 = 108.50/x
  3. Step 3: Cross multiply
    143.48x = 197.76 × 108.50
  4. Step 4: Simplify right side
    143.48x = 21,456.96
  5. Step 5: Solve for x
    x = 21,456.96/143.48
  6. Step 6: Final answer
    x = 149.55

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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.