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Finding the Fourth Proportional to 143.24, 196.49 and 140.20

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Solution

The fourth proportional to 143.24, 196.49 and 140.20 is: 192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 196.49 = 140.20 : x
  2. Step 2: Convert to fraction form
    143.24/196.49 = 140.20/x
  3. Step 3: Cross multiply
    143.24x = 196.49 × 140.20
  4. Step 4: Simplify right side
    143.24x = 27,547.76
  5. Step 5: Solve for x
    x = 27,547.76/143.24
  6. Step 6: Final answer
    x = 192.33

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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.