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Finding the Fourth Proportional to 262.70, 394.08 and 125.81

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Solution

The fourth proportional to 262.70, 394.08 and 125.81 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 394.08 = 125.81 : x
  2. Step 2: Convert to fraction form
    262.70/394.08 = 125.81/x
  3. Step 3: Cross multiply
    262.70x = 394.08 × 125.81
  4. Step 4: Simplify right side
    262.70x = 49,579.20
  5. Step 5: Solve for x
    x = 49,579.20/262.70
  6. Step 6: Final answer
    x = 188.73

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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.