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Finding the Fourth Proportional to 293.82, 405.07 and 227.53

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Solution

The fourth proportional to 293.82, 405.07 and 227.53 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.82 : 405.07 = 227.53 : x
  2. Step 2: Convert to fraction form
    293.82/405.07 = 227.53/x
  3. Step 3: Cross multiply
    293.82x = 405.07 × 227.53
  4. Step 4: Simplify right side
    293.82x = 92,165.58
  5. Step 5: Solve for x
    x = 92,165.58/293.82
  6. Step 6: Final answer
    x = 313.68

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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.