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Finding the Fourth Proportional to 193.38, 289.95 and 106.76

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Solution

The fourth proportional to 193.38, 289.95 and 106.76 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 289.95 = 106.76 : x
  2. Step 2: Convert to fraction form
    193.38/289.95 = 106.76/x
  3. Step 3: Cross multiply
    193.38x = 289.95 × 106.76
  4. Step 4: Simplify right side
    193.38x = 30,953.08
  5. Step 5: Solve for x
    x = 30,953.08/193.38
  6. Step 6: Final answer
    x = 160.06

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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.