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Finding the Fourth Proportional to 293.28, 404.93 and 182.78

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Solution

The fourth proportional to 293.28, 404.93 and 182.78 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.28 : 404.93 = 182.78 : x
  2. Step 2: Convert to fraction form
    293.28/404.93 = 182.78/x
  3. Step 3: Cross multiply
    293.28x = 404.93 × 182.78
  4. Step 4: Simplify right side
    293.28x = 74,013.11
  5. Step 5: Solve for x
    x = 74,013.11/293.28
  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.