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Finding the Fourth Proportional to 197.54, 296.28 and 67.53

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Solution

The fourth proportional to 197.54, 296.28 and 67.53 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 296.28 = 67.53 : x
  2. Step 2: Convert to fraction form
    197.54/296.28 = 67.53/x
  3. Step 3: Cross multiply
    197.54x = 296.28 × 67.53
  4. Step 4: Simplify right side
    197.54x = 20,007.79
  5. Step 5: Solve for x
    x = 20,007.79/197.54
  6. Step 6: Final answer
    x = 101.28

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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.