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Finding the Fourth Proportional to 293.38, 404.67 and 188.43

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Solution

The fourth proportional to 293.38, 404.67 and 188.43 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 404.67 = 188.43 : x
  2. Step 2: Convert to fraction form
    293.38/404.67 = 188.43/x
  3. Step 3: Cross multiply
    293.38x = 404.67 × 188.43
  4. Step 4: Simplify right side
    293.38x = 76,250.96
  5. Step 5: Solve for x
    x = 76,250.96/293.38
  6. Step 6: Final answer
    x = 259.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.