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Finding the Fourth Proportional to 208.25, 312.38 and 105.24

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Solution

The fourth proportional to 208.25, 312.38 and 105.24 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 312.38 = 105.24 : x
  2. Step 2: Convert to fraction form
    208.25/312.38 = 105.24/x
  3. Step 3: Cross multiply
    208.25x = 312.38 × 105.24
  4. Step 4: Simplify right side
    208.25x = 32,874.35
  5. Step 5: Solve for x
    x = 32,874.35/208.25
  6. Step 6: Final answer
    x = 157.86

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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.