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Finding the Fourth Proportional to 193.47, 290.22 and 77.97

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Solution

The fourth proportional to 193.47, 290.22 and 77.97 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 290.22 = 77.97 : x
  2. Step 2: Convert to fraction form
    193.47/290.22 = 77.97/x
  3. Step 3: Cross multiply
    193.47x = 290.22 × 77.97
  4. Step 4: Simplify right side
    193.47x = 22,628.45
  5. Step 5: Solve for x
    x = 22,628.45/193.47
  6. Step 6: Final answer
    x = 116.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.