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Finding the Fourth Proportional to 222.30, 306.93 and 198.92

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Solution

The fourth proportional to 222.30, 306.93 and 198.92 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.30 : 306.93 = 198.92 : x
  2. Step 2: Convert to fraction form
    222.30/306.93 = 198.92/x
  3. Step 3: Cross multiply
    222.30x = 306.93 × 198.92
  4. Step 4: Simplify right side
    222.30x = 61,054.52
  5. Step 5: Solve for x
    x = 61,054.52/222.30
  6. Step 6: Final answer
    x = 274.65

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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.