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Finding the Fourth Proportional to 195.08, 269.69 and 193.23

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Solution

The fourth proportional to 195.08, 269.69 and 193.23 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 269.69 = 193.23 : x
  2. Step 2: Convert to fraction form
    195.08/269.69 = 193.23/x
  3. Step 3: Cross multiply
    195.08x = 269.69 × 193.23
  4. Step 4: Simplify right side
    195.08x = 52,111.23
  5. Step 5: Solve for x
    x = 52,111.23/195.08
  6. Step 6: Final answer
    x = 267.13

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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.