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Finding the Fourth Proportional to 208.12, 287.10 and 139

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Solution

The fourth proportional to 208.12, 287.10 and 139 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.12 : 287.10 = 139 : x
  2. Step 2: Convert to fraction form
    208.12/287.10 = 139/x
  3. Step 3: Cross multiply
    208.12x = 287.10 × 139
  4. Step 4: Simplify right side
    208.12x = 39,906.90
  5. Step 5: Solve for x
    x = 39,906.90/208.12
  6. Step 6: Final answer
    x = 191.75

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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.