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Finding the Fourth Proportional to 293.72, 440.52 and 131.44

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Solution

The fourth proportional to 293.72, 440.52 and 131.44 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 440.52 = 131.44 : x
  2. Step 2: Convert to fraction form
    293.72/440.52 = 131.44/x
  3. Step 3: Cross multiply
    293.72x = 440.52 × 131.44
  4. Step 4: Simplify right side
    293.72x = 57,901.95
  5. Step 5: Solve for x
    x = 57,901.95/293.72
  6. Step 6: Final answer
    x = 197.13

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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.