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Finding the Fourth Proportional to 195.46, 269.48 and 189.08

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Solution

The fourth proportional to 195.46, 269.48 and 189.08 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.46 : 269.48 = 189.08 : x
  2. Step 2: Convert to fraction form
    195.46/269.48 = 189.08/x
  3. Step 3: Cross multiply
    195.46x = 269.48 × 189.08
  4. Step 4: Simplify right side
    195.46x = 50,953.87
  5. Step 5: Solve for x
    x = 50,953.87/195.46
  6. Step 6: Final answer
    x = 260.68

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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.