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Finding the Fourth Proportional to 262.44, 394.11 and 207.77

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Solution

The fourth proportional to 262.44, 394.11 and 207.77 is: 312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 394.11 = 207.77 : x
  2. Step 2: Convert to fraction form
    262.44/394.11 = 207.77/x
  3. Step 3: Cross multiply
    262.44x = 394.11 × 207.77
  4. Step 4: Simplify right side
    262.44x = 81,882.26
  5. Step 5: Solve for x
    x = 81,882.26/262.44
  6. Step 6: Final answer
    x = 312.00

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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.