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Finding the Fourth Proportional to 258.14, 356.23 and 140.11

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Solution

The fourth proportional to 258.14, 356.23 and 140.11 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 356.23 = 140.11 : x
  2. Step 2: Convert to fraction form
    258.14/356.23 = 140.11/x
  3. Step 3: Cross multiply
    258.14x = 356.23 × 140.11
  4. Step 4: Simplify right side
    258.14x = 49,912.67
  5. Step 5: Solve for x
    x = 49,912.67/258.14
  6. Step 6: Final answer
    x = 193.36

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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.