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Finding the Fourth Proportional to 262.21, 393.66 and 249.91

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Solution

The fourth proportional to 262.21, 393.66 and 249.91 is: 375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.21 : 393.66 = 249.91 : x
  2. Step 2: Convert to fraction form
    262.21/393.66 = 249.91/x
  3. Step 3: Cross multiply
    262.21x = 393.66 × 249.91
  4. Step 4: Simplify right side
    262.21x = 98,379.69
  5. Step 5: Solve for x
    x = 98,379.69/262.21
  6. Step 6: Final answer
    x = 375.19

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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.