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Finding the Fourth Proportional to 293.46, 404.82 and 175.38

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Solution

The fourth proportional to 293.46, 404.82 and 175.38 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 404.82 = 175.38 : x
  2. Step 2: Convert to fraction form
    293.46/404.82 = 175.38/x
  3. Step 3: Cross multiply
    293.46x = 404.82 × 175.38
  4. Step 4: Simplify right side
    293.46x = 70,997.33
  5. Step 5: Solve for x
    x = 70,997.33/293.46
  6. Step 6: Final answer
    x = 241.93

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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.