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Finding the Fourth Proportional to 262.16, 395.04 and 249.80

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Solution

The fourth proportional to 262.16, 395.04 and 249.80 is: 376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 395.04 = 249.80 : x
  2. Step 2: Convert to fraction form
    262.16/395.04 = 249.80/x
  3. Step 3: Cross multiply
    262.16x = 395.04 × 249.80
  4. Step 4: Simplify right side
    262.16x = 98,680.99
  5. Step 5: Solve for x
    x = 98,680.99/262.16
  6. Step 6: Final answer
    x = 376.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.