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Finding the Fourth Proportional to 191.09, 263.71 and 108.21

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Solution

The fourth proportional to 191.09, 263.71 and 108.21 is: 149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 263.71 = 108.21 : x
  2. Step 2: Convert to fraction form
    191.09/263.71 = 108.21/x
  3. Step 3: Cross multiply
    191.09x = 263.71 × 108.21
  4. Step 4: Simplify right side
    191.09x = 28,536.89
  5. Step 5: Solve for x
    x = 28,536.89/191.09
  6. Step 6: Final answer
    x = 149.34

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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.