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Finding the Fourth Proportional to 191.03, 286.08 and 109.71

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Solution

The fourth proportional to 191.03, 286.08 and 109.71 is: 164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.03 : 286.08 = 109.71 : x
  2. Step 2: Convert to fraction form
    191.03/286.08 = 109.71/x
  3. Step 3: Cross multiply
    191.03x = 286.08 × 109.71
  4. Step 4: Simplify right side
    191.03x = 31,385.43
  5. Step 5: Solve for x
    x = 31,385.43/191.03
  6. Step 6: Final answer
    x = 164.30

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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.