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Finding the Fourth Proportional to 293.66, 405.24 and 183.18

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Solution

The fourth proportional to 293.66, 405.24 and 183.18 is: 252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 405.24 = 183.18 : x
  2. Step 2: Convert to fraction form
    293.66/405.24 = 183.18/x
  3. Step 3: Cross multiply
    293.66x = 405.24 × 183.18
  4. Step 4: Simplify right side
    293.66x = 74,231.86
  5. Step 5: Solve for x
    x = 74,231.86/293.66
  6. Step 6: Final answer
    x = 252.78

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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.