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Finding the Fourth Proportional to 365.98, 505.03 and 208.62

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Solution

The fourth proportional to 365.98, 505.03 and 208.62 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.98 : 505.03 = 208.62 : x
  2. Step 2: Convert to fraction form
    365.98/505.03 = 208.62/x
  3. Step 3: Cross multiply
    365.98x = 505.03 × 208.62
  4. Step 4: Simplify right side
    365.98x = 105,358.73
  5. Step 5: Solve for x
    x = 105,358.73/365.98
  6. Step 6: Final answer
    x = 287.88

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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.