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Finding the Fourth Proportional to 293.97, 440.38 and 156.82

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Solution

The fourth proportional to 293.97, 440.38 and 156.82 is: 234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 440.38 = 156.82 : x
  2. Step 2: Convert to fraction form
    293.97/440.38 = 156.82/x
  3. Step 3: Cross multiply
    293.97x = 440.38 × 156.82
  4. Step 4: Simplify right side
    293.97x = 69,060.39
  5. Step 5: Solve for x
    x = 69,060.39/293.97
  6. Step 6: Final answer
    x = 234.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.