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Finding the Fourth Proportional to 208.16, 287.27 and 142.68

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Solution

The fourth proportional to 208.16, 287.27 and 142.68 is: 196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 287.27 = 142.68 : x
  2. Step 2: Convert to fraction form
    208.16/287.27 = 142.68/x
  3. Step 3: Cross multiply
    208.16x = 287.27 × 142.68
  4. Step 4: Simplify right side
    208.16x = 40,986.97
  5. Step 5: Solve for x
    x = 40,986.97/208.16
  6. Step 6: Final answer
    x = 196.91

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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.