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Finding the Fourth Proportional to 191.43, 287.96 and 164.70

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Solution

The fourth proportional to 191.43, 287.96 and 164.70 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.43 : 287.96 = 164.70 : x
  2. Step 2: Convert to fraction form
    191.43/287.96 = 164.70/x
  3. Step 3: Cross multiply
    191.43x = 287.96 × 164.70
  4. Step 4: Simplify right side
    191.43x = 47,426.19
  5. Step 5: Solve for x
    x = 47,426.19/191.43
  6. Step 6: Final answer
    x = 247.75

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Why These Related Problems?

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