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Finding the Fourth Proportional to 208.79, 287.75 and 202.86

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Solution

The fourth proportional to 208.79, 287.75 and 202.86 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.79 : 287.75 = 202.86 : x
  2. Step 2: Convert to fraction form
    208.79/287.75 = 202.86/x
  3. Step 3: Cross multiply
    208.79x = 287.75 × 202.86
  4. Step 4: Simplify right side
    208.79x = 58,372.97
  5. Step 5: Solve for x
    x = 58,372.97/208.79
  6. Step 6: Final answer
    x = 279.58

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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.