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Finding the Fourth Proportional to 262.81, 394.30 and 125.82

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Solution

The fourth proportional to 262.81, 394.30 and 125.82 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 394.30 = 125.82 : x
  2. Step 2: Convert to fraction form
    262.81/394.30 = 125.82/x
  3. Step 3: Cross multiply
    262.81x = 394.30 × 125.82
  4. Step 4: Simplify right side
    262.81x = 49,610.98
  5. Step 5: Solve for x
    x = 49,610.98/262.81
  6. Step 6: Final answer
    x = 188.77

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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.