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Finding the Fourth Proportional to 191.00, 263.66 and 164.31

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Solution

The fourth proportional to 191.00, 263.66 and 164.31 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.00 : 263.66 = 164.31 : x
  2. Step 2: Convert to fraction form
    191.00/263.66 = 164.31/x
  3. Step 3: Cross multiply
    191.00x = 263.66 × 164.31
  4. Step 4: Simplify right side
    191.00x = 43,322.57
  5. Step 5: Solve for x
    x = 43,322.57/191.00
  6. Step 6: Final answer
    x = 226.82

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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.