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Finding the Fourth Proportional to 197.47, 296.16 and 75.67

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Solution

The fourth proportional to 197.47, 296.16 and 75.67 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 296.16 = 75.67 : x
  2. Step 2: Convert to fraction form
    197.47/296.16 = 75.67/x
  3. Step 3: Cross multiply
    197.47x = 296.16 × 75.67
  4. Step 4: Simplify right side
    197.47x = 22,409.40
  5. Step 5: Solve for x
    x = 22,409.40/197.47
  6. Step 6: Final answer
    x = 113.48

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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.