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Finding the Fourth Proportional to 208.06, 312.12 and 197.14

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Solution

The fourth proportional to 208.06, 312.12 and 197.14 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 312.12 = 197.14 : x
  2. Step 2: Convert to fraction form
    208.06/312.12 = 197.14/x
  3. Step 3: Cross multiply
    208.06x = 312.12 × 197.14
  4. Step 4: Simplify right side
    208.06x = 61,531.34
  5. Step 5: Solve for x
    x = 61,531.34/208.06
  6. Step 6: Final answer
    x = 295.74

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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.