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Finding the Fourth Proportional to 208.04, 287.37 and 142.43

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Solution

The fourth proportional to 208.04, 287.37 and 142.43 is: 196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 287.37 = 142.43 : x
  2. Step 2: Convert to fraction form
    208.04/287.37 = 142.43/x
  3. Step 3: Cross multiply
    208.04x = 287.37 × 142.43
  4. Step 4: Simplify right side
    208.04x = 40,928.67
  5. Step 5: Solve for x
    x = 40,928.67/208.04
  6. Step 6: Final answer
    x = 196.74

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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.