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Finding the Fourth Proportional to 143.40, 196.78 and 131.16

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Solution

The fourth proportional to 143.40, 196.78 and 131.16 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 196.78 = 131.16 : x
  2. Step 2: Convert to fraction form
    143.40/196.78 = 131.16/x
  3. Step 3: Cross multiply
    143.40x = 196.78 × 131.16
  4. Step 4: Simplify right side
    143.40x = 25,809.66
  5. Step 5: Solve for x
    x = 25,809.66/143.40
  6. Step 6: Final answer
    x = 179.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.