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Finding the Fourth Proportional to 208.44, 312.74 and 208.44

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Solution

The fourth proportional to 208.44, 312.74 and 208.44 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 312.74 = 208.44 : x
  2. Step 2: Convert to fraction form
    208.44/312.74 = 208.44/x
  3. Step 3: Cross multiply
    208.44x = 312.74 × 208.44
  4. Step 4: Simplify right side
    208.44x = 65,187.53
  5. Step 5: Solve for x
    x = 65,187.53/208.44
  6. Step 6: Final answer
    x = 312.74

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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.