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Finding the Fourth Proportional to 208.15, 285.53 and 195.73

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Solution

The fourth proportional to 208.15, 285.53 and 195.73 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 285.53 = 195.73 : x
  2. Step 2: Convert to fraction form
    208.15/285.53 = 195.73/x
  3. Step 3: Cross multiply
    208.15x = 285.53 × 195.73
  4. Step 4: Simplify right side
    208.15x = 55,886.79
  5. Step 5: Solve for x
    x = 55,886.79/208.15
  6. Step 6: Final answer
    x = 268.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.