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Finding the Fourth Proportional to 195.23, 293.92 and 178.22

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Solution

The fourth proportional to 195.23, 293.92 and 178.22 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.23 : 293.92 = 178.22 : x
  2. Step 2: Convert to fraction form
    195.23/293.92 = 178.22/x
  3. Step 3: Cross multiply
    195.23x = 293.92 × 178.22
  4. Step 4: Simplify right side
    195.23x = 52,382.42
  5. Step 5: Solve for x
    x = 52,382.42/195.23
  6. Step 6: Final answer
    x = 268.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.