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Finding the Fourth Proportional to 384.52, 576.96 and 192.12

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Solution

The fourth proportional to 384.52, 576.96 and 192.12 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.52 : 576.96 = 192.12 : x
  2. Step 2: Convert to fraction form
    384.52/576.96 = 192.12/x
  3. Step 3: Cross multiply
    384.52x = 576.96 × 192.12
  4. Step 4: Simplify right side
    384.52x = 110,845.56
  5. Step 5: Solve for x
    x = 110,845.56/384.52
  6. Step 6: Final answer
    x = 288.27

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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.