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Finding the Fourth Proportional to 208.97, 288.60 and 176.48

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Solution

The fourth proportional to 208.97, 288.60 and 176.48 is: 243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 288.60 = 176.48 : x
  2. Step 2: Convert to fraction form
    208.97/288.60 = 176.48/x
  3. Step 3: Cross multiply
    208.97x = 288.60 × 176.48
  4. Step 4: Simplify right side
    208.97x = 50,932.19
  5. Step 5: Solve for x
    x = 50,932.19/208.97
  6. Step 6: Final answer
    x = 243.73

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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.