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Finding the Fourth Proportional to 143.16, 213.54 and 131.48

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Solution

The fourth proportional to 143.16, 213.54 and 131.48 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.16 : 213.54 = 131.48 : x
  2. Step 2: Convert to fraction form
    143.16/213.54 = 131.48/x
  3. Step 3: Cross multiply
    143.16x = 213.54 × 131.48
  4. Step 4: Simplify right side
    143.16x = 28,076.24
  5. Step 5: Solve for x
    x = 28,076.24/143.16
  6. Step 6: Final answer
    x = 196.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.