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Finding the Fourth Proportional to 262.93, 394.01 and 193.90

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Solution

The fourth proportional to 262.93, 394.01 and 193.90 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.93 : 394.01 = 193.90 : x
  2. Step 2: Convert to fraction form
    262.93/394.01 = 193.90/x
  3. Step 3: Cross multiply
    262.93x = 394.01 × 193.90
  4. Step 4: Simplify right side
    262.93x = 76,397.57
  5. Step 5: Solve for x
    x = 76,397.57/262.93
  6. Step 6: Final answer
    x = 290.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.