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Finding the Fourth Proportional to 222.07, 306.05 and 182.12

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Solution

The fourth proportional to 222.07, 306.05 and 182.12 is: 250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.07 : 306.05 = 182.12 : x
  2. Step 2: Convert to fraction form
    222.07/306.05 = 182.12/x
  3. Step 3: Cross multiply
    222.07x = 306.05 × 182.12
  4. Step 4: Simplify right side
    222.07x = 55,736.92
  5. Step 5: Solve for x
    x = 55,736.92/222.07
  6. Step 6: Final answer
    x = 250.99

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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.