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Finding the Fourth Proportional to 162.82, 243.05 and 140.14

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Solution

The fourth proportional to 162.82, 243.05 and 140.14 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 243.05 = 140.14 : x
  2. Step 2: Convert to fraction form
    162.82/243.05 = 140.14/x
  3. Step 3: Cross multiply
    162.82x = 243.05 × 140.14
  4. Step 4: Simplify right side
    162.82x = 34,060.68
  5. Step 5: Solve for x
    x = 34,060.68/162.82
  6. Step 6: Final answer
    x = 209.19

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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.