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Finding the Fourth Proportional to 244.98, 338.05 and 146.73

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Solution

The fourth proportional to 244.98, 338.05 and 146.73 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.98 : 338.05 = 146.73 : x
  2. Step 2: Convert to fraction form
    244.98/338.05 = 146.73/x
  3. Step 3: Cross multiply
    244.98x = 338.05 × 146.73
  4. Step 4: Simplify right side
    244.98x = 49,602.08
  5. Step 5: Solve for x
    x = 49,602.08/244.98
  6. Step 6: Final answer
    x = 202.47

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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.