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Finding the Fourth Proportional to 377.57, 566.37 and 195.32

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Solution

The fourth proportional to 377.57, 566.37 and 195.32 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.57 : 566.37 = 195.32 : x
  2. Step 2: Convert to fraction form
    377.57/566.37 = 195.32/x
  3. Step 3: Cross multiply
    377.57x = 566.37 × 195.32
  4. Step 4: Simplify right side
    377.57x = 110,622.68
  5. Step 5: Solve for x
    x = 110,622.68/377.57
  6. Step 6: Final answer
    x = 292.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.