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Finding the Fourth Proportional to 193.96, 291.03 and 97.84

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Solution

The fourth proportional to 193.96, 291.03 and 97.84 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 291.03 = 97.84 : x
  2. Step 2: Convert to fraction form
    193.96/291.03 = 97.84/x
  3. Step 3: Cross multiply
    193.96x = 291.03 × 97.84
  4. Step 4: Simplify right side
    193.96x = 28,474.38
  5. Step 5: Solve for x
    x = 28,474.38/193.96
  6. Step 6: Final answer
    x = 146.81

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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.