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Finding the Fourth Proportional to 171.30, 236.10 and 140.14

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Solution

The fourth proportional to 171.30, 236.10 and 140.14 is: 193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 236.10 = 140.14 : x
  2. Step 2: Convert to fraction form
    171.30/236.10 = 140.14/x
  3. Step 3: Cross multiply
    171.30x = 236.10 × 140.14
  4. Step 4: Simplify right side
    171.30x = 33,087.05
  5. Step 5: Solve for x
    x = 33,087.05/171.30
  6. Step 6: Final answer
    x = 193.15

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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.