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Finding the Fourth Proportional to 293.77, 440.34 and 165.25

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Solution

The fourth proportional to 293.77, 440.34 and 165.25 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.77 : 440.34 = 165.25 : x
  2. Step 2: Convert to fraction form
    293.77/440.34 = 165.25/x
  3. Step 3: Cross multiply
    293.77x = 440.34 × 165.25
  4. Step 4: Simplify right side
    293.77x = 72,766.19
  5. Step 5: Solve for x
    x = 72,766.19/293.77
  6. Step 6: Final answer
    x = 247.70

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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.