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Finding the Fourth Proportional to 245.46, 338.28 and 245.10

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Solution

The fourth proportional to 245.46, 338.28 and 245.10 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.46 : 338.28 = 245.10 : x
  2. Step 2: Convert to fraction form
    245.46/338.28 = 245.10/x
  3. Step 3: Cross multiply
    245.46x = 338.28 × 245.10
  4. Step 4: Simplify right side
    245.46x = 82,912.43
  5. Step 5: Solve for x
    x = 82,912.43/245.46
  6. Step 6: Final answer
    x = 337.78

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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.