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Finding the Fourth Proportional to 293.78, 405.36 and 183.22

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Solution

The fourth proportional to 293.78, 405.36 and 183.22 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 405.36 = 183.22 : x
  2. Step 2: Convert to fraction form
    293.78/405.36 = 183.22/x
  3. Step 3: Cross multiply
    293.78x = 405.36 × 183.22
  4. Step 4: Simplify right side
    293.78x = 74,270.06
  5. Step 5: Solve for x
    x = 74,270.06/293.78
  6. Step 6: Final answer
    x = 252.81

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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.