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Finding the Fourth Proportional to 378.40, 566.90 and 195.34

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Solution

The fourth proportional to 378.40, 566.90 and 195.34 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 566.90 = 195.34 : x
  2. Step 2: Convert to fraction form
    378.40/566.90 = 195.34/x
  3. Step 3: Cross multiply
    378.40x = 566.90 × 195.34
  4. Step 4: Simplify right side
    378.40x = 110,738.25
  5. Step 5: Solve for x
    x = 110,738.25/378.40
  6. Step 6: Final answer
    x = 292.65

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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.