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Finding the Fourth Proportional to 177.09, 243.99 and 140.18

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Solution

The fourth proportional to 177.09, 243.99 and 140.18 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 243.99 = 140.18 : x
  2. Step 2: Convert to fraction form
    177.09/243.99 = 140.18/x
  3. Step 3: Cross multiply
    177.09x = 243.99 × 140.18
  4. Step 4: Simplify right side
    177.09x = 34,202.28
  5. Step 5: Solve for x
    x = 34,202.28/177.09
  6. Step 6: Final answer
    x = 193.14

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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.