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Finding the Fourth Proportional to 191.88, 284.22 and 189.72

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Solution

The fourth proportional to 191.88, 284.22 and 189.72 is: 281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 284.22 = 189.72 : x
  2. Step 2: Convert to fraction form
    191.88/284.22 = 189.72/x
  3. Step 3: Cross multiply
    191.88x = 284.22 × 189.72
  4. Step 4: Simplify right side
    191.88x = 53,922.22
  5. Step 5: Solve for x
    x = 53,922.22/191.88
  6. Step 6: Final answer
    x = 281.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.