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Finding the Fourth Proportional to 304.45, 419.97 and 192.24

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Solution

The fourth proportional to 304.45, 419.97 and 192.24 is: 265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 419.97 = 192.24 : x
  2. Step 2: Convert to fraction form
    304.45/419.97 = 192.24/x
  3. Step 3: Cross multiply
    304.45x = 419.97 × 192.24
  4. Step 4: Simplify right side
    304.45x = 80,735.03
  5. Step 5: Solve for x
    x = 80,735.03/304.45
  6. Step 6: Final answer
    x = 265.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.