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Finding the Fourth Proportional to 191.18, 263.95 and 178.09

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Solution

The fourth proportional to 191.18, 263.95 and 178.09 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.18 : 263.95 = 178.09 : x
  2. Step 2: Convert to fraction form
    191.18/263.95 = 178.09/x
  3. Step 3: Cross multiply
    191.18x = 263.95 × 178.09
  4. Step 4: Simplify right side
    191.18x = 47,005.97
  5. Step 5: Solve for x
    x = 47,005.97/191.18
  6. Step 6: Final answer
    x = 245.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.