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Finding the Fourth Proportional to 208.80, 288.36 and 159.84

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Solution

The fourth proportional to 208.80, 288.36 and 159.84 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 288.36 = 159.84 : x
  2. Step 2: Convert to fraction form
    208.80/288.36 = 159.84/x
  3. Step 3: Cross multiply
    208.80x = 288.36 × 159.84
  4. Step 4: Simplify right side
    208.80x = 46,091.46
  5. Step 5: Solve for x
    x = 46,091.46/208.80
  6. Step 6: Final answer
    x = 220.74

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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.