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Finding the Fourth Proportional to 208.38, 312.48 and 78.31

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Solution

The fourth proportional to 208.38, 312.48 and 78.31 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.38 : 312.48 = 78.31 : x
  2. Step 2: Convert to fraction form
    208.38/312.48 = 78.31/x
  3. Step 3: Cross multiply
    208.38x = 312.48 × 78.31
  4. Step 4: Simplify right side
    208.38x = 24,468.94
  5. Step 5: Solve for x
    x = 24,468.94/208.38
  6. Step 6: Final answer
    x = 117.43

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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.