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Finding the Fourth Proportional to 253.82, 378.95 and 238.37

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Solution

The fourth proportional to 253.82, 378.95 and 238.37 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 378.95 = 238.37 : x
  2. Step 2: Convert to fraction form
    253.82/378.95 = 238.37/x
  3. Step 3: Cross multiply
    253.82x = 378.95 × 238.37
  4. Step 4: Simplify right side
    253.82x = 90,330.31
  5. Step 5: Solve for x
    x = 90,330.31/253.82
  6. Step 6: Final answer
    x = 355.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.