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Finding the Fourth Proportional to 245.22, 338.36 and 146.97

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Solution

The fourth proportional to 245.22, 338.36 and 146.97 is: 202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.22 : 338.36 = 146.97 : x
  2. Step 2: Convert to fraction form
    245.22/338.36 = 146.97/x
  3. Step 3: Cross multiply
    245.22x = 338.36 × 146.97
  4. Step 4: Simplify right side
    245.22x = 49,728.03
  5. Step 5: Solve for x
    x = 49,728.03/245.22
  6. Step 6: Final answer
    x = 202.79

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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.