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Finding the Fourth Proportional to 191.57, 286.88 and 110.16

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Solution

The fourth proportional to 191.57, 286.88 and 110.16 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 286.88 = 110.16 : x
  2. Step 2: Convert to fraction form
    191.57/286.88 = 110.16/x
  3. Step 3: Cross multiply
    191.57x = 286.88 × 110.16
  4. Step 4: Simplify right side
    191.57x = 31,602.15
  5. Step 5: Solve for x
    x = 31,602.15/191.57
  6. Step 6: Final answer
    x = 164.97

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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.