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Finding the Fourth Proportional to 238.68, 356.00 and 208.44

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Solution

The fourth proportional to 238.68, 356.00 and 208.44 is: 310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.68 : 356.00 = 208.44 : x
  2. Step 2: Convert to fraction form
    238.68/356.00 = 208.44/x
  3. Step 3: Cross multiply
    238.68x = 356.00 × 208.44
  4. Step 4: Simplify right side
    238.68x = 74,203.60
  5. Step 5: Solve for x
    x = 74,203.60/238.68
  6. Step 6: Final answer
    x = 310.89

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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.