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Finding the Fourth Proportional to 238.60, 355.97 and 208.23

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Solution

The fourth proportional to 238.60, 355.97 and 208.23 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 355.97 = 208.23 : x
  2. Step 2: Convert to fraction form
    238.60/355.97 = 208.23/x
  3. Step 3: Cross multiply
    238.60x = 355.97 × 208.23
  4. Step 4: Simplify right side
    238.60x = 74,123.63
  5. Step 5: Solve for x
    x = 74,123.63/238.60
  6. Step 6: Final answer
    x = 310.66

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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.