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Finding the Fourth Proportional to 197.54, 296.36 and 75.84

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Solution

The fourth proportional to 197.54, 296.36 and 75.84 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 296.36 = 75.84 : x
  2. Step 2: Convert to fraction form
    197.54/296.36 = 75.84/x
  3. Step 3: Cross multiply
    197.54x = 296.36 × 75.84
  4. Step 4: Simplify right side
    197.54x = 22,474.74
  5. Step 5: Solve for x
    x = 22,474.74/197.54
  6. Step 6: Final answer
    x = 113.77

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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.