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Finding the Fourth Proportional to 293.45, 405.09 and 182.90

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Solution

The fourth proportional to 293.45, 405.09 and 182.90 is: 252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 405.09 = 182.90 : x
  2. Step 2: Convert to fraction form
    293.45/405.09 = 182.90/x
  3. Step 3: Cross multiply
    293.45x = 405.09 × 182.90
  4. Step 4: Simplify right side
    293.45x = 74,090.96
  5. Step 5: Solve for x
    x = 74,090.96/293.45
  6. Step 6: Final answer
    x = 252.48

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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.