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Finding the Fourth Proportional to 208.87, 288.23 and 115.62

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Solution

The fourth proportional to 208.87, 288.23 and 115.62 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 288.23 = 115.62 : x
  2. Step 2: Convert to fraction form
    208.87/288.23 = 115.62/x
  3. Step 3: Cross multiply
    208.87x = 288.23 × 115.62
  4. Step 4: Simplify right side
    208.87x = 33,323.13
  5. Step 5: Solve for x
    x = 33,323.13/208.87
  6. Step 6: Final answer
    x = 159.54

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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.