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Finding the Fourth Proportional to 191.26, 284.76 and 188.70

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Solution

The fourth proportional to 191.26, 284.76 and 188.70 is: 280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.26 : 284.76 = 188.70 : x
  2. Step 2: Convert to fraction form
    191.26/284.76 = 188.70/x
  3. Step 3: Cross multiply
    191.26x = 284.76 × 188.70
  4. Step 4: Simplify right side
    191.26x = 53,734.21
  5. Step 5: Solve for x
    x = 53,734.21/191.26
  6. Step 6: Final answer
    x = 280.95

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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.