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Finding the Fourth Proportional to 293.96, 440.04 and 185.60

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Solution

The fourth proportional to 293.96, 440.04 and 185.60 is: 277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 440.04 = 185.60 : x
  2. Step 2: Convert to fraction form
    293.96/440.04 = 185.60/x
  3. Step 3: Cross multiply
    293.96x = 440.04 × 185.60
  4. Step 4: Simplify right side
    293.96x = 81,671.42
  5. Step 5: Solve for x
    x = 81,671.42/293.96
  6. Step 6: Final answer
    x = 277.83

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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.