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Finding the Fourth Proportional to 208.85, 288 and 159.66

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Solution

The fourth proportional to 208.85, 288 and 159.66 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 288 = 159.66 : x
  2. Step 2: Convert to fraction form
    208.85/288 = 159.66/x
  3. Step 3: Cross multiply
    208.85x = 288 × 159.66
  4. Step 4: Simplify right side
    208.85x = 45,982.08
  5. Step 5: Solve for x
    x = 45,982.08/208.85
  6. Step 6: Final answer
    x = 220.17

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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.