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Finding the Fourth Proportional to 208.71, 288.00 and 115.45

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Solution

The fourth proportional to 208.71, 288.00 and 115.45 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 288.00 = 115.45 : x
  2. Step 2: Convert to fraction form
    208.71/288.00 = 115.45/x
  3. Step 3: Cross multiply
    208.71x = 288.00 × 115.45
  4. Step 4: Simplify right side
    208.71x = 33,249.61
  5. Step 5: Solve for x
    x = 33,249.61/208.71
  6. Step 6: Final answer
    x = 159.31

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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.