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Finding the Fourth Proportional to 222.70, 306.24 and 198.10

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Solution

The fourth proportional to 222.70, 306.24 and 198.10 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.70 : 306.24 = 198.10 : x
  2. Step 2: Convert to fraction form
    222.70/306.24 = 198.10/x
  3. Step 3: Cross multiply
    222.70x = 306.24 × 198.10
  4. Step 4: Simplify right side
    222.70x = 60,666.14
  5. Step 5: Solve for x
    x = 60,666.14/222.70
  6. Step 6: Final answer
    x = 272.41

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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.