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Finding the Fourth Proportional to 244.94, 338.02 and 157.76

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Solution

The fourth proportional to 244.94, 338.02 and 157.76 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.94 : 338.02 = 157.76 : x
  2. Step 2: Convert to fraction form
    244.94/338.02 = 157.76/x
  3. Step 3: Cross multiply
    244.94x = 338.02 × 157.76
  4. Step 4: Simplify right side
    244.94x = 53,326.04
  5. Step 5: Solve for x
    x = 53,326.04/244.94
  6. Step 6: Final answer
    x = 217.71

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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.