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Finding the Fourth Proportional to 208.42, 313.20 and 194.88

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Solution

The fourth proportional to 208.42, 313.20 and 194.88 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 313.20 = 194.88 : x
  2. Step 2: Convert to fraction form
    208.42/313.20 = 194.88/x
  3. Step 3: Cross multiply
    208.42x = 313.20 × 194.88
  4. Step 4: Simplify right side
    208.42x = 61,034.85
  5. Step 5: Solve for x
    x = 61,034.85/208.42
  6. Step 6: Final answer
    x = 292.85

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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.