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Finding the Fourth Proportional to 177.67, 245.37 and 140.95

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Solution

The fourth proportional to 177.67, 245.37 and 140.95 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 245.37 = 140.95 : x
  2. Step 2: Convert to fraction form
    177.67/245.37 = 140.95/x
  3. Step 3: Cross multiply
    177.67x = 245.37 × 140.95
  4. Step 4: Simplify right side
    177.67x = 34,584.90
  5. Step 5: Solve for x
    x = 34,584.90/177.67
  6. Step 6: Final answer
    x = 194.66

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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.