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Finding the Fourth Proportional to 262.64, 394.01 and 125.66

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Solution

The fourth proportional to 262.64, 394.01 and 125.66 is: 188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 394.01 = 125.66 : x
  2. Step 2: Convert to fraction form
    262.64/394.01 = 125.66/x
  3. Step 3: Cross multiply
    262.64x = 394.01 × 125.66
  4. Step 4: Simplify right side
    262.64x = 49,511.30
  5. Step 5: Solve for x
    x = 49,511.30/262.64
  6. Step 6: Final answer
    x = 188.51

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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.