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Finding the Fourth Proportional to 191.06, 286.58 and 109.85

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Solution

The fourth proportional to 191.06, 286.58 and 109.85 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 286.58 = 109.85 : x
  2. Step 2: Convert to fraction form
    191.06/286.58 = 109.85/x
  3. Step 3: Cross multiply
    191.06x = 286.58 × 109.85
  4. Step 4: Simplify right side
    191.06x = 31,479.65
  5. Step 5: Solve for x
    x = 31,479.65/191.06
  6. Step 6: Final answer
    x = 164.77

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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.