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Finding the Fourth Proportional to 191.12, 263.50 and 144.54

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Solution

The fourth proportional to 191.12, 263.50 and 144.54 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 263.50 = 144.54 : x
  2. Step 2: Convert to fraction form
    191.12/263.50 = 144.54/x
  3. Step 3: Cross multiply
    191.12x = 263.50 × 144.54
  4. Step 4: Simplify right side
    191.12x = 38,086.29
  5. Step 5: Solve for x
    x = 38,086.29/191.12
  6. Step 6: Final answer
    x = 199.28

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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.