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Finding the Fourth Proportional to 191.28, 264.02 and 149.79

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Solution

The fourth proportional to 191.28, 264.02 and 149.79 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.28 : 264.02 = 149.79 : x
  2. Step 2: Convert to fraction form
    191.28/264.02 = 149.79/x
  3. Step 3: Cross multiply
    191.28x = 264.02 × 149.79
  4. Step 4: Simplify right side
    191.28x = 39,546.81
  5. Step 5: Solve for x
    x = 39,546.81/191.28
  6. Step 6: Final answer
    x = 206.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.