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Finding the Fourth Proportional to 377.31, 565.85 and 120.75

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Solution

The fourth proportional to 377.31, 565.85 and 120.75 is: 181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.31 : 565.85 = 120.75 : x
  2. Step 2: Convert to fraction form
    377.31/565.85 = 120.75/x
  3. Step 3: Cross multiply
    377.31x = 565.85 × 120.75
  4. Step 4: Simplify right side
    377.31x = 68,325.78
  5. Step 5: Solve for x
    x = 68,325.78/377.31
  6. Step 6: Final answer
    x = 181.09

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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.