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Finding the Fourth Proportional to 191.45, 287.71 and 186.84

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Solution

The fourth proportional to 191.45, 287.71 and 186.84 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.45 : 287.71 = 186.84 : x
  2. Step 2: Convert to fraction form
    191.45/287.71 = 186.84/x
  3. Step 3: Cross multiply
    191.45x = 287.71 × 186.84
  4. Step 4: Simplify right side
    191.45x = 53,756.35
  5. Step 5: Solve for x
    x = 53,756.35/191.45
  6. Step 6: Final answer
    x = 280.78

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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.