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Finding the Fourth Proportional to 330.08, 495.21 and 192.87

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Solution

The fourth proportional to 330.08, 495.21 and 192.87 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 495.21 = 192.87 : x
  2. Step 2: Convert to fraction form
    330.08/495.21 = 192.87/x
  3. Step 3: Cross multiply
    330.08x = 495.21 × 192.87
  4. Step 4: Simplify right side
    330.08x = 95,511.15
  5. Step 5: Solve for x
    x = 95,511.15/330.08
  6. Step 6: Final answer
    x = 289.36

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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.