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Finding the Fourth Proportional to 379.12, 569.03 and 196.64

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Solution

The fourth proportional to 379.12, 569.03 and 196.64 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 569.03 = 196.64 : x
  2. Step 2: Convert to fraction form
    379.12/569.03 = 196.64/x
  3. Step 3: Cross multiply
    379.12x = 569.03 × 196.64
  4. Step 4: Simplify right side
    379.12x = 111,893.08
  5. Step 5: Solve for x
    x = 111,893.08/379.12
  6. Step 6: Final answer
    x = 295.14

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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.