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Finding the Fourth Proportional to 197.28, 295.38 and 133.02

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Solution

The fourth proportional to 197.28, 295.38 and 133.02 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 295.38 = 133.02 : x
  2. Step 2: Convert to fraction form
    197.28/295.38 = 133.02/x
  3. Step 3: Cross multiply
    197.28x = 295.38 × 133.02
  4. Step 4: Simplify right side
    197.28x = 39,291.45
  5. Step 5: Solve for x
    x = 39,291.45/197.28
  6. Step 6: Final answer
    x = 199.17

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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.