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Finding the Fourth Proportional to 293.95, 441.12 and 131.74

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Solution

The fourth proportional to 293.95, 441.12 and 131.74 is: 197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 441.12 = 131.74 : x
  2. Step 2: Convert to fraction form
    293.95/441.12 = 131.74/x
  3. Step 3: Cross multiply
    293.95x = 441.12 × 131.74
  4. Step 4: Simplify right side
    293.95x = 58,113.15
  5. Step 5: Solve for x
    x = 58,113.15/293.95
  6. Step 6: Final answer
    x = 197.70

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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.