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Finding the Fourth Proportional to 400.26, 600.52 and 194.84

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Solution

The fourth proportional to 400.26, 600.52 and 194.84 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 600.52 = 194.84 : x
  2. Step 2: Convert to fraction form
    400.26/600.52 = 194.84/x
  3. Step 3: Cross multiply
    400.26x = 600.52 × 194.84
  4. Step 4: Simplify right side
    400.26x = 117,005.32
  5. Step 5: Solve for x
    x = 117,005.32/400.26
  6. Step 6: Final answer
    x = 292.32

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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.