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Finding the Fourth Proportional to 204.30, 304.79 and 192.87

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Solution

The fourth proportional to 204.30, 304.79 and 192.87 is: 287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 304.79 = 192.87 : x
  2. Step 2: Convert to fraction form
    204.30/304.79 = 192.87/x
  3. Step 3: Cross multiply
    204.30x = 304.79 × 192.87
  4. Step 4: Simplify right side
    204.30x = 58,783.88
  5. Step 5: Solve for x
    x = 58,783.88/204.30
  6. Step 6: Final answer
    x = 287.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.