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Finding the Fourth Proportional to 294.01, 440.81 and 185.87

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Solution

The fourth proportional to 294.01, 440.81 and 185.87 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.01 : 440.81 = 185.87 : x
  2. Step 2: Convert to fraction form
    294.01/440.81 = 185.87/x
  3. Step 3: Cross multiply
    294.01x = 440.81 × 185.87
  4. Step 4: Simplify right side
    294.01x = 81,932.43
  5. Step 5: Solve for x
    x = 81,932.43/294.01
  6. Step 6: Final answer
    x = 278.68

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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.