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Finding the Fourth Proportional to 223.92, 308.16 and 208.08

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Solution

The fourth proportional to 223.92, 308.16 and 208.08 is: 286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 308.16 = 208.08 : x
  2. Step 2: Convert to fraction form
    223.92/308.16 = 208.08/x
  3. Step 3: Cross multiply
    223.92x = 308.16 × 208.08
  4. Step 4: Simplify right side
    223.92x = 64,121.93
  5. Step 5: Solve for x
    x = 64,121.93/223.92
  6. Step 6: Final answer
    x = 286.36

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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.