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Finding the Fourth Proportional to 191.14, 284.94 and 188.18

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Solution

The fourth proportional to 191.14, 284.94 and 188.18 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 284.94 = 188.18 : x
  2. Step 2: Convert to fraction form
    191.14/284.94 = 188.18/x
  3. Step 3: Cross multiply
    191.14x = 284.94 × 188.18
  4. Step 4: Simplify right side
    191.14x = 53,620.01
  5. Step 5: Solve for x
    x = 53,620.01/191.14
  6. Step 6: Final answer
    x = 280.53

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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.