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Finding the Fourth Proportional to 191.09, 264.06 and 158.29

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Solution

The fourth proportional to 191.09, 264.06 and 158.29 is: 218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 264.06 = 158.29 : x
  2. Step 2: Convert to fraction form
    191.09/264.06 = 158.29/x
  3. Step 3: Cross multiply
    191.09x = 264.06 × 158.29
  4. Step 4: Simplify right side
    191.09x = 41,797.40
  5. Step 5: Solve for x
    x = 41,797.40/191.09
  6. Step 6: Final answer
    x = 218.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.