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Finding the Fourth Proportional to 191.25, 287.04 and 109.98

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Solution

The fourth proportional to 191.25, 287.04 and 109.98 is: 165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.25 : 287.04 = 109.98 : x
  2. Step 2: Convert to fraction form
    191.25/287.04 = 109.98/x
  3. Step 3: Cross multiply
    191.25x = 287.04 × 109.98
  4. Step 4: Simplify right side
    191.25x = 31,568.66
  5. Step 5: Solve for x
    x = 31,568.66/191.25
  6. Step 6: Final answer
    x = 165.06

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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.