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Finding the Fourth Proportional to 377.30, 565.83 and 194.75

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Solution

The fourth proportional to 377.30, 565.83 and 194.75 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.30 : 565.83 = 194.75 : x
  2. Step 2: Convert to fraction form
    377.30/565.83 = 194.75/x
  3. Step 3: Cross multiply
    377.30x = 565.83 × 194.75
  4. Step 4: Simplify right side
    377.30x = 110,192.56
  5. Step 5: Solve for x
    x = 110,192.56/377.30
  6. Step 6: Final answer
    x = 292.06

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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.