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Finding the Fourth Proportional to 222.39, 306.39 and 208.47

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Solution

The fourth proportional to 222.39, 306.39 and 208.47 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.39 : 306.39 = 208.47 : x
  2. Step 2: Convert to fraction form
    222.39/306.39 = 208.47/x
  3. Step 3: Cross multiply
    222.39x = 306.39 × 208.47
  4. Step 4: Simplify right side
    222.39x = 63,873.12
  5. Step 5: Solve for x
    x = 63,873.12/222.39
  6. Step 6: Final answer
    x = 287.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.