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Finding the Fourth Proportional to 262.84, 394.38 and 251.56

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Solution

The fourth proportional to 262.84, 394.38 and 251.56 is: 377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 394.38 = 251.56 : x
  2. Step 2: Convert to fraction form
    262.84/394.38 = 251.56/x
  3. Step 3: Cross multiply
    262.84x = 394.38 × 251.56
  4. Step 4: Simplify right side
    262.84x = 99,210.23
  5. Step 5: Solve for x
    x = 99,210.23/262.84
  6. Step 6: Final answer
    x = 377.45

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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.