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Finding the Fourth Proportional to 252.95, 346.81 and 249.83

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Solution

The fourth proportional to 252.95, 346.81 and 249.83 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 346.81 = 249.83 : x
  2. Step 2: Convert to fraction form
    252.95/346.81 = 249.83/x
  3. Step 3: Cross multiply
    252.95x = 346.81 × 249.83
  4. Step 4: Simplify right side
    252.95x = 86,644.20
  5. Step 5: Solve for x
    x = 86,644.20/252.95
  6. Step 6: Final answer
    x = 342.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.