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Finding the Fourth Proportional to 366.05, 505.17 and 208.66

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Solution

The fourth proportional to 366.05, 505.17 and 208.66 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 505.17 = 208.66 : x
  2. Step 2: Convert to fraction form
    366.05/505.17 = 208.66/x
  3. Step 3: Cross multiply
    366.05x = 505.17 × 208.66
  4. Step 4: Simplify right side
    366.05x = 105,406.25
  5. Step 5: Solve for x
    x = 105,406.25/366.05
  6. Step 6: Final answer
    x = 287.96

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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.