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Finding the Fourth Proportional to 191.45, 285.22 and 189.61

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Solution

The fourth proportional to 191.45, 285.22 and 189.61 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.45 : 285.22 = 189.61 : x
  2. Step 2: Convert to fraction form
    191.45/285.22 = 189.61/x
  3. Step 3: Cross multiply
    191.45x = 285.22 × 189.61
  4. Step 4: Simplify right side
    191.45x = 54,080.56
  5. Step 5: Solve for x
    x = 54,080.56/191.45
  6. Step 6: Final answer
    x = 282.48

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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.