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Finding the Fourth Proportional to 208.31, 286.98 and 134.49

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Solution

The fourth proportional to 208.31, 286.98 and 134.49 is: 185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.31 : 286.98 = 134.49 : x
  2. Step 2: Convert to fraction form
    208.31/286.98 = 134.49/x
  3. Step 3: Cross multiply
    208.31x = 286.98 × 134.49
  4. Step 4: Simplify right side
    208.31x = 38,596.51
  5. Step 5: Solve for x
    x = 38,596.51/208.31
  6. Step 6: Final answer
    x = 185.29

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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.