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Finding the Fourth Proportional to 377.46, 566.16 and 194.82

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Solution

The fourth proportional to 377.46, 566.16 and 194.82 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.46 : 566.16 = 194.82 : x
  2. Step 2: Convert to fraction form
    377.46/566.16 = 194.82/x
  3. Step 3: Cross multiply
    377.46x = 566.16 × 194.82
  4. Step 4: Simplify right side
    377.46x = 110,299.29
  5. Step 5: Solve for x
    x = 110,299.29/377.46
  6. Step 6: Final answer
    x = 292.21

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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.