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Finding the Fourth Proportional to 197.25, 295.88 and 133.53

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Solution

The fourth proportional to 197.25, 295.88 and 133.53 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.25 : 295.88 = 133.53 : x
  2. Step 2: Convert to fraction form
    197.25/295.88 = 133.53/x
  3. Step 3: Cross multiply
    197.25x = 295.88 × 133.53
  4. Step 4: Simplify right side
    197.25x = 39,508.19
  5. Step 5: Solve for x
    x = 39,508.19/197.25
  6. Step 6: Final answer
    x = 200.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.