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Finding the Fourth Proportional to 379.97, 570.14 and 194.91

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Solution

The fourth proportional to 379.97, 570.14 and 194.91 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 570.14 = 194.91 : x
  2. Step 2: Convert to fraction form
    379.97/570.14 = 194.91/x
  3. Step 3: Cross multiply
    379.97x = 570.14 × 194.91
  4. Step 4: Simplify right side
    379.97x = 111,123.61
  5. Step 5: Solve for x
    x = 111,123.61/379.97
  6. Step 6: Final answer
    x = 292.46

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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.