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Finding the Fourth Proportional to 191.80, 287.84 and 109.54

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Solution

The fourth proportional to 191.80, 287.84 and 109.54 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 287.84 = 109.54 : x
  2. Step 2: Convert to fraction form
    191.80/287.84 = 109.54/x
  3. Step 3: Cross multiply
    191.80x = 287.84 × 109.54
  4. Step 4: Simplify right side
    191.80x = 31,529.45
  5. Step 5: Solve for x
    x = 31,529.45/191.80
  6. Step 6: Final answer
    x = 164.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.