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Finding the Fourth Proportional to 293.51, 405.11 and 169.24

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Solution

The fourth proportional to 293.51, 405.11 and 169.24 is: 233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.51 : 405.11 = 169.24 : x
  2. Step 2: Convert to fraction form
    293.51/405.11 = 169.24/x
  3. Step 3: Cross multiply
    293.51x = 405.11 × 169.24
  4. Step 4: Simplify right side
    293.51x = 68,560.82
  5. Step 5: Solve for x
    x = 68,560.82/293.51
  6. Step 6: Final answer
    x = 233.59

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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.