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Finding the Fourth Proportional to 377.80, 565.86 and 195.37

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Solution

The fourth proportional to 377.80, 565.86 and 195.37 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 565.86 = 195.37 : x
  2. Step 2: Convert to fraction form
    377.80/565.86 = 195.37/x
  3. Step 3: Cross multiply
    377.80x = 565.86 × 195.37
  4. Step 4: Simplify right side
    377.80x = 110,549.24
  5. Step 5: Solve for x
    x = 110,549.24/377.80
  6. Step 6: Final answer
    x = 292.62

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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.