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Finding the Fourth Proportional to 208.91, 287.43 and 165.17

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Solution

The fourth proportional to 208.91, 287.43 and 165.17 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 287.43 = 165.17 : x
  2. Step 2: Convert to fraction form
    208.91/287.43 = 165.17/x
  3. Step 3: Cross multiply
    208.91x = 287.43 × 165.17
  4. Step 4: Simplify right side
    208.91x = 47,474.81
  5. Step 5: Solve for x
    x = 47,474.81/208.91
  6. Step 6: Final answer
    x = 227.25

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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.