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Finding the Fourth Proportional to 191.23, 286.49 and 139.29

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Solution

The fourth proportional to 191.23, 286.49 and 139.29 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.23 : 286.49 = 139.29 : x
  2. Step 2: Convert to fraction form
    191.23/286.49 = 139.29/x
  3. Step 3: Cross multiply
    191.23x = 286.49 × 139.29
  4. Step 4: Simplify right side
    191.23x = 39,905.54
  5. Step 5: Solve for x
    x = 39,905.54/191.23
  6. Step 6: Final answer
    x = 208.68

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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.