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Finding the Fourth Proportional to 294.09, 441.29 and 131.75

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Solution

The fourth proportional to 294.09, 441.29 and 131.75 is: 197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 441.29 = 131.75 : x
  2. Step 2: Convert to fraction form
    294.09/441.29 = 131.75/x
  3. Step 3: Cross multiply
    294.09x = 441.29 × 131.75
  4. Step 4: Simplify right side
    294.09x = 58,137.75
  5. Step 5: Solve for x
    x = 58,137.75/294.09
  6. Step 6: Final answer
    x = 197.69

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Why These Related Problems?

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