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Finding the Fourth Proportional to 293.87, 440.30 and 178.04

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Solution

The fourth proportional to 293.87, 440.30 and 178.04 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 440.30 = 178.04 : x
  2. Step 2: Convert to fraction form
    293.87/440.30 = 178.04/x
  3. Step 3: Cross multiply
    293.87x = 440.30 × 178.04
  4. Step 4: Simplify right side
    293.87x = 78,391.22
  5. Step 5: Solve for x
    x = 78,391.22/293.87
  6. Step 6: Final answer
    x = 266.75

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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.