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Finding the Fourth Proportional to 208.97, 312.71 and 197.26

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Solution

The fourth proportional to 208.97, 312.71 and 197.26 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 312.71 = 197.26 : x
  2. Step 2: Convert to fraction form
    208.97/312.71 = 197.26/x
  3. Step 3: Cross multiply
    208.97x = 312.71 × 197.26
  4. Step 4: Simplify right side
    208.97x = 61,683.41
  5. Step 5: Solve for x
    x = 61,683.41/208.97
  6. Step 6: Final answer
    x = 295.18

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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.