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Finding the Fourth Proportional to 208.97, 288.12 and 159.77

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Solution

The fourth proportional to 208.97, 288.12 and 159.77 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 288.12 = 159.77 : x
  2. Step 2: Convert to fraction form
    208.97/288.12 = 159.77/x
  3. Step 3: Cross multiply
    208.97x = 288.12 × 159.77
  4. Step 4: Simplify right side
    208.97x = 46,032.93
  5. Step 5: Solve for x
    x = 46,032.93/208.97
  6. Step 6: Final answer
    x = 220.28

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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.