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Finding the Fourth Proportional to 193.38, 289.59 and 135.46

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Solution

The fourth proportional to 193.38, 289.59 and 135.46 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 289.59 = 135.46 : x
  2. Step 2: Convert to fraction form
    193.38/289.59 = 135.46/x
  3. Step 3: Cross multiply
    193.38x = 289.59 × 135.46
  4. Step 4: Simplify right side
    193.38x = 39,227.86
  5. Step 5: Solve for x
    x = 39,227.86/193.38
  6. Step 6: Final answer
    x = 202.85

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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.