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Finding the Fourth Proportional to 378.25, 566.15 and 195.39

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Solution

The fourth proportional to 378.25, 566.15 and 195.39 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 566.15 = 195.39 : x
  2. Step 2: Convert to fraction form
    378.25/566.15 = 195.39/x
  3. Step 3: Cross multiply
    378.25x = 566.15 × 195.39
  4. Step 4: Simplify right side
    378.25x = 110,618.63
  5. Step 5: Solve for x
    x = 110,618.63/378.25
  6. Step 6: Final answer
    x = 292.45

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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.