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Finding the Fourth Proportional to 191.50, 286.00 and 180.97

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Solution

The fourth proportional to 191.50, 286.00 and 180.97 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.50 : 286.00 = 180.97 : x
  2. Step 2: Convert to fraction form
    191.50/286.00 = 180.97/x
  3. Step 3: Cross multiply
    191.50x = 286.00 × 180.97
  4. Step 4: Simplify right side
    191.50x = 51,756.25
  5. Step 5: Solve for x
    x = 51,756.25/191.50
  6. Step 6: Final answer
    x = 270.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.