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Finding the Fourth Proportional to 377.32, 565.97 and 120.82

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Solution

The fourth proportional to 377.32, 565.97 and 120.82 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.32 : 565.97 = 120.82 : x
  2. Step 2: Convert to fraction form
    377.32/565.97 = 120.82/x
  3. Step 3: Cross multiply
    377.32x = 565.97 × 120.82
  4. Step 4: Simplify right side
    377.32x = 68,377.67
  5. Step 5: Solve for x
    x = 68,377.67/377.32
  6. Step 6: Final answer
    x = 181.22

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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.