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Finding the Fourth Proportional to 193.61, 290.20 and 83.98

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Solution

The fourth proportional to 193.61, 290.20 and 83.98 is: 125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.61 : 290.20 = 83.98 : x
  2. Step 2: Convert to fraction form
    193.61/290.20 = 83.98/x
  3. Step 3: Cross multiply
    193.61x = 290.20 × 83.98
  4. Step 4: Simplify right side
    193.61x = 24,369.75
  5. Step 5: Solve for x
    x = 24,369.75/193.61
  6. Step 6: Final answer
    x = 125.87

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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.