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Finding the Fourth Proportional to 208.44, 312.69 and 78.42

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Solution

The fourth proportional to 208.44, 312.69 and 78.42 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 312.69 = 78.42 : x
  2. Step 2: Convert to fraction form
    208.44/312.69 = 78.42/x
  3. Step 3: Cross multiply
    208.44x = 312.69 × 78.42
  4. Step 4: Simplify right side
    208.44x = 24,521.15
  5. Step 5: Solve for x
    x = 24,521.15/208.44
  6. Step 6: Final answer
    x = 117.64

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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.