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Finding the Fourth Proportional to 294.30, 441.09 and 131.76

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Solution

The fourth proportional to 294.30, 441.09 and 131.76 is: 197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 441.09 = 131.76 : x
  2. Step 2: Convert to fraction form
    294.30/441.09 = 131.76/x
  3. Step 3: Cross multiply
    294.30x = 441.09 × 131.76
  4. Step 4: Simplify right side
    294.30x = 58,118.02
  5. Step 5: Solve for x
    x = 58,118.02/294.30
  6. Step 6: Final answer
    x = 197.48

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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.