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Finding the Fourth Proportional to 191.62, 287.06 and 110.29

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Solution

The fourth proportional to 191.62, 287.06 and 110.29 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 287.06 = 110.29 : x
  2. Step 2: Convert to fraction form
    191.62/287.06 = 110.29/x
  3. Step 3: Cross multiply
    191.62x = 287.06 × 110.29
  4. Step 4: Simplify right side
    191.62x = 31,658.58
  5. Step 5: Solve for x
    x = 31,658.58/191.62
  6. Step 6: Final answer
    x = 165.22

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