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Finding the Fourth Proportional to 262.65, 393.97 and 125.66

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Solution

The fourth proportional to 262.65, 393.97 and 125.66 is: 188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.65 : 393.97 = 125.66 : x
  2. Step 2: Convert to fraction form
    262.65/393.97 = 125.66/x
  3. Step 3: Cross multiply
    262.65x = 393.97 × 125.66
  4. Step 4: Simplify right side
    262.65x = 49,507.57
  5. Step 5: Solve for x
    x = 49,507.57/262.65
  6. Step 6: Final answer
    x = 188.49

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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.