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Finding the Fourth Proportional to 208.37, 312.92 and 112.25

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Solution

The fourth proportional to 208.37, 312.92 and 112.25 is: 168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 312.92 = 112.25 : x
  2. Step 2: Convert to fraction form
    208.37/312.92 = 112.25/x
  3. Step 3: Cross multiply
    208.37x = 312.92 × 112.25
  4. Step 4: Simplify right side
    208.37x = 35,123.14
  5. Step 5: Solve for x
    x = 35,123.14/208.37
  6. Step 6: Final answer
    x = 168.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.