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Finding the Fourth Proportional to 293.92, 405.54 and 205.29

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Solution

The fourth proportional to 293.92, 405.54 and 205.29 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.92 : 405.54 = 205.29 : x
  2. Step 2: Convert to fraction form
    293.92/405.54 = 205.29/x
  3. Step 3: Cross multiply
    293.92x = 405.54 × 205.29
  4. Step 4: Simplify right side
    293.92x = 83,253.31
  5. Step 5: Solve for x
    x = 83,253.31/293.92
  6. Step 6: Final answer
    x = 283.25

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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.