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Finding the Fourth Proportional to 191.50, 287.07 and 181.24

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Solution

The fourth proportional to 191.50, 287.07 and 181.24 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.50 : 287.07 = 181.24 : x
  2. Step 2: Convert to fraction form
    191.50/287.07 = 181.24/x
  3. Step 3: Cross multiply
    191.50x = 287.07 × 181.24
  4. Step 4: Simplify right side
    191.50x = 52,028.57
  5. Step 5: Solve for x
    x = 52,028.57/191.50
  6. Step 6: Final answer
    x = 271.69

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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.