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Finding the Fourth Proportional to 294.09, 440.52 and 185.34

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Solution

The fourth proportional to 294.09, 440.52 and 185.34 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 440.52 = 185.34 : x
  2. Step 2: Convert to fraction form
    294.09/440.52 = 185.34/x
  3. Step 3: Cross multiply
    294.09x = 440.52 × 185.34
  4. Step 4: Simplify right side
    294.09x = 81,645.98
  5. Step 5: Solve for x
    x = 81,645.98/294.09
  6. Step 6: Final answer
    x = 277.62

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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.