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Finding the Fourth Proportional to 294.09, 440.82 and 185.91

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Solution

The fourth proportional to 294.09, 440.82 and 185.91 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 440.82 = 185.91 : x
  2. Step 2: Convert to fraction form
    294.09/440.82 = 185.91/x
  3. Step 3: Cross multiply
    294.09x = 440.82 × 185.91
  4. Step 4: Simplify right side
    294.09x = 81,952.85
  5. Step 5: Solve for x
    x = 81,952.85/294.09
  6. Step 6: Final answer
    x = 278.67

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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.