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Finding the Fourth Proportional to 208.98, 288.09 and 159.84

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Solution

The fourth proportional to 208.98, 288.09 and 159.84 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 288.09 = 159.84 : x
  2. Step 2: Convert to fraction form
    208.98/288.09 = 159.84/x
  3. Step 3: Cross multiply
    208.98x = 288.09 × 159.84
  4. Step 4: Simplify right side
    208.98x = 46,048.31
  5. Step 5: Solve for x
    x = 46,048.31/208.98
  6. Step 6: Final answer
    x = 220.35

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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.