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Finding the Fourth Proportional to 293.05, 404.28 and 182.45

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Solution

The fourth proportional to 293.05, 404.28 and 182.45 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.05 : 404.28 = 182.45 : x
  2. Step 2: Convert to fraction form
    293.05/404.28 = 182.45/x
  3. Step 3: Cross multiply
    293.05x = 404.28 × 182.45
  4. Step 4: Simplify right side
    293.05x = 73,760.89
  5. Step 5: Solve for x
    x = 73,760.89/293.05
  6. Step 6: Final answer
    x = 251.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.