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Finding the Fourth Proportional to 293.44, 404.75 and 193.87

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Solution

The fourth proportional to 293.44, 404.75 and 193.87 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.75 = 193.87 : x
  2. Step 2: Convert to fraction form
    293.44/404.75 = 193.87/x
  3. Step 3: Cross multiply
    293.44x = 404.75 × 193.87
  4. Step 4: Simplify right side
    293.44x = 78,467.64
  5. Step 5: Solve for x
    x = 78,467.64/293.44
  6. Step 6: Final answer
    x = 267.40

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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.