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Finding the Fourth Proportional to 208.72, 287.77 and 159.52

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Solution

The fourth proportional to 208.72, 287.77 and 159.52 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 287.77 = 159.52 : x
  2. Step 2: Convert to fraction form
    208.72/287.77 = 159.52/x
  3. Step 3: Cross multiply
    208.72x = 287.77 × 159.52
  4. Step 4: Simplify right side
    208.72x = 45,905.07
  5. Step 5: Solve for x
    x = 45,905.07/208.72
  6. Step 6: Final answer
    x = 219.94

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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.