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Finding the Fourth Proportional to 245.31, 338.38 and 146.89

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Solution

The fourth proportional to 245.31, 338.38 and 146.89 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.31 : 338.38 = 146.89 : x
  2. Step 2: Convert to fraction form
    245.31/338.38 = 146.89/x
  3. Step 3: Cross multiply
    245.31x = 338.38 × 146.89
  4. Step 4: Simplify right side
    245.31x = 49,704.64
  5. Step 5: Solve for x
    x = 49,704.64/245.31
  6. Step 6: Final answer
    x = 202.62

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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.