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Finding the Fourth Proportional to 133.38, 198.65 and 125.53

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Solution

The fourth proportional to 133.38, 198.65 and 125.53 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 198.65 = 125.53 : x
  2. Step 2: Convert to fraction form
    133.38/198.65 = 125.53/x
  3. Step 3: Cross multiply
    133.38x = 198.65 × 125.53
  4. Step 4: Simplify right side
    133.38x = 24,936.53
  5. Step 5: Solve for x
    x = 24,936.53/133.38
  6. Step 6: Final answer
    x = 186.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.