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Finding the Fourth Proportional to 245.56, 338.16 and 222.34

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Solution

The fourth proportional to 245.56, 338.16 and 222.34 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.56 : 338.16 = 222.34 : x
  2. Step 2: Convert to fraction form
    245.56/338.16 = 222.34/x
  3. Step 3: Cross multiply
    245.56x = 338.16 × 222.34
  4. Step 4: Simplify right side
    245.56x = 75,186.49
  5. Step 5: Solve for x
    x = 75,186.49/245.56
  6. Step 6: Final answer
    x = 306.18

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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.