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Finding the Fourth Proportional to 245.07, 338.01 and 182.97

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Solution

The fourth proportional to 245.07, 338.01 and 182.97 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.07 : 338.01 = 182.97 : x
  2. Step 2: Convert to fraction form
    245.07/338.01 = 182.97/x
  3. Step 3: Cross multiply
    245.07x = 338.01 × 182.97
  4. Step 4: Simplify right side
    245.07x = 61,845.69
  5. Step 5: Solve for x
    x = 61,845.69/245.07
  6. Step 6: Final answer
    x = 252.36

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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.