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Finding the Fourth Proportional to 208.38, 287.64 and 142.86

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Solution

The fourth proportional to 208.38, 287.64 and 142.86 is: 197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.38 : 287.64 = 142.86 : x
  2. Step 2: Convert to fraction form
    208.38/287.64 = 142.86/x
  3. Step 3: Cross multiply
    208.38x = 287.64 × 142.86
  4. Step 4: Simplify right side
    208.38x = 41,092.25
  5. Step 5: Solve for x
    x = 41,092.25/208.38
  6. Step 6: Final answer
    x = 197.20

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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.