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Finding the Fourth Proportional to 295.26, 441.97 and 192.32

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Solution

The fourth proportional to 295.26, 441.97 and 192.32 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.26 : 441.97 = 192.32 : x
  2. Step 2: Convert to fraction form
    295.26/441.97 = 192.32/x
  3. Step 3: Cross multiply
    295.26x = 441.97 × 192.32
  4. Step 4: Simplify right side
    295.26x = 85,000.12
  5. Step 5: Solve for x
    x = 85,000.12/295.26
  6. Step 6: Final answer
    x = 287.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.