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Finding the Fourth Proportional to 293.87, 405.42 and 205.32

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Solution

The fourth proportional to 293.87, 405.42 and 205.32 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 405.42 = 205.32 : x
  2. Step 2: Convert to fraction form
    293.87/405.42 = 205.32/x
  3. Step 3: Cross multiply
    293.87x = 405.42 × 205.32
  4. Step 4: Simplify right side
    293.87x = 83,241.85
  5. Step 5: Solve for x
    x = 83,241.85/293.87
  6. Step 6: Final answer
    x = 283.26

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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.