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Finding the Fourth Proportional to 293.70, 405.14 and 195.32

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Solution

The fourth proportional to 293.70, 405.14 and 195.32 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 405.14 = 195.32 : x
  2. Step 2: Convert to fraction form
    293.70/405.14 = 195.32/x
  3. Step 3: Cross multiply
    293.70x = 405.14 × 195.32
  4. Step 4: Simplify right side
    293.70x = 79,131.94
  5. Step 5: Solve for x
    x = 79,131.94/293.70
  6. Step 6: Final answer
    x = 269.43

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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.