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Finding the Fourth Proportional to 377.67, 521.20 and 211.90

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Solution

The fourth proportional to 377.67, 521.20 and 211.90 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.67 : 521.20 = 211.90 : x
  2. Step 2: Convert to fraction form
    377.67/521.20 = 211.90/x
  3. Step 3: Cross multiply
    377.67x = 521.20 × 211.90
  4. Step 4: Simplify right side
    377.67x = 110,441.24
  5. Step 5: Solve for x
    x = 110,441.24/377.67
  6. Step 6: Final answer
    x = 292.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.