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Finding the Fourth Proportional to 222.92, 336.05 and 208.06

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Solution

The fourth proportional to 222.92, 336.05 and 208.06 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 336.05 = 208.06 : x
  2. Step 2: Convert to fraction form
    222.92/336.05 = 208.06/x
  3. Step 3: Cross multiply
    222.92x = 336.05 × 208.06
  4. Step 4: Simplify right side
    222.92x = 69,917.46
  5. Step 5: Solve for x
    x = 69,917.46/222.92
  6. Step 6: Final answer
    x = 313.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.