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Finding the Fourth Proportional to 208.17, 310.03 and 195.75

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Solution

The fourth proportional to 208.17, 310.03 and 195.75 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 310.03 = 195.75 : x
  2. Step 2: Convert to fraction form
    208.17/310.03 = 195.75/x
  3. Step 3: Cross multiply
    208.17x = 310.03 × 195.75
  4. Step 4: Simplify right side
    208.17x = 60,687.88
  5. Step 5: Solve for x
    x = 60,687.88/208.17
  6. Step 6: Final answer
    x = 291.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.