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Finding the Fourth Proportional to 208.89, 288.09 and 165.15

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Solution

The fourth proportional to 208.89, 288.09 and 165.15 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.89 : 288.09 = 165.15 : x
  2. Step 2: Convert to fraction form
    208.89/288.09 = 165.15/x
  3. Step 3: Cross multiply
    208.89x = 288.09 × 165.15
  4. Step 4: Simplify right side
    208.89x = 47,578.06
  5. Step 5: Solve for x
    x = 47,578.06/208.89
  6. Step 6: Final answer
    x = 227.77

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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.