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Finding the Fourth Proportional to 208.72, 287.74 and 165

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Solution

The fourth proportional to 208.72, 287.74 and 165 is: 227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 287.74 = 165 : x
  2. Step 2: Convert to fraction form
    208.72/287.74 = 165/x
  3. Step 3: Cross multiply
    208.72x = 287.74 × 165
  4. Step 4: Simplify right side
    208.72x = 47,477.10
  5. Step 5: Solve for x
    x = 47,477.10/208.72
  6. Step 6: Final answer
    x = 227.47

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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.