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Finding the Fourth Proportional to 293.17, 404.69 and 195.06

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Solution

The fourth proportional to 293.17, 404.69 and 195.06 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 404.69 = 195.06 : x
  2. Step 2: Convert to fraction form
    293.17/404.69 = 195.06/x
  3. Step 3: Cross multiply
    293.17x = 404.69 × 195.06
  4. Step 4: Simplify right side
    293.17x = 78,938.83
  5. Step 5: Solve for x
    x = 78,938.83/293.17
  6. Step 6: Final answer
    x = 269.26

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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.