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Finding the Fourth Proportional to 377.65, 566.34 and 195

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Solution

The fourth proportional to 377.65, 566.34 and 195 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.65 : 566.34 = 195 : x
  2. Step 2: Convert to fraction form
    377.65/566.34 = 195/x
  3. Step 3: Cross multiply
    377.65x = 566.34 × 195
  4. Step 4: Simplify right side
    377.65x = 110,436.30
  5. Step 5: Solve for x
    x = 110,436.30/377.65
  6. Step 6: Final answer
    x = 292.43

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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.