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Finding the Fourth Proportional to 195.31, 268.95 and 191.05

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Solution

The fourth proportional to 195.31, 268.95 and 191.05 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.31 : 268.95 = 191.05 : x
  2. Step 2: Convert to fraction form
    195.31/268.95 = 191.05/x
  3. Step 3: Cross multiply
    195.31x = 268.95 × 191.05
  4. Step 4: Simplify right side
    195.31x = 51,382.90
  5. Step 5: Solve for x
    x = 51,382.90/195.31
  6. Step 6: Final answer
    x = 263.08

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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.