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Finding the Fourth Proportional to 366.31, 505.43 and 208.92

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Solution

The fourth proportional to 366.31, 505.43 and 208.92 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.31 : 505.43 = 208.92 : x
  2. Step 2: Convert to fraction form
    366.31/505.43 = 208.92/x
  3. Step 3: Cross multiply
    366.31x = 505.43 × 208.92
  4. Step 4: Simplify right side
    366.31x = 105,594.44
  5. Step 5: Solve for x
    x = 105,594.44/366.31
  6. Step 6: Final answer
    x = 288.27

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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.