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Finding the Fourth Proportional to 143.49, 197.78 and 131.88

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Solution

The fourth proportional to 143.49, 197.78 and 131.88 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.49 : 197.78 = 131.88 : x
  2. Step 2: Convert to fraction form
    143.49/197.78 = 131.88/x
  3. Step 3: Cross multiply
    143.49x = 197.78 × 131.88
  4. Step 4: Simplify right side
    143.49x = 26,082.57
  5. Step 5: Solve for x
    x = 26,082.57/143.49
  6. Step 6: Final answer
    x = 181.77

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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.