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Finding the Fourth Proportional to 193, 266.34 and 115.38

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Solution

The fourth proportional to 193, 266.34 and 115.38 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 266.34 = 115.38 : x
  2. Step 2: Convert to fraction form
    193/266.34 = 115.38/x
  3. Step 3: Cross multiply
    193x = 266.34 × 115.38
  4. Step 4: Simplify right side
    193x = 30,730.31
  5. Step 5: Solve for x
    x = 30,730.31/193
  6. Step 6: Final answer
    x = 159.22

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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.