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Finding the Fourth Proportional to 208.74, 288.05 and 115.48

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Solution

The fourth proportional to 208.74, 288.05 and 115.48 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 288.05 = 115.48 : x
  2. Step 2: Convert to fraction form
    208.74/288.05 = 115.48/x
  3. Step 3: Cross multiply
    208.74x = 288.05 × 115.48
  4. Step 4: Simplify right side
    208.74x = 33,264.30
  5. Step 5: Solve for x
    x = 33,264.30/208.74
  6. Step 6: Final answer
    x = 159.36

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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.