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Finding the Fourth Proportional to 384, 576.12 and 201.36

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Solution

The fourth proportional to 384, 576.12 and 201.36 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 576.12 = 201.36 : x
  2. Step 2: Convert to fraction form
    384/576.12 = 201.36/x
  3. Step 3: Cross multiply
    384x = 576.12 × 201.36
  4. Step 4: Simplify right side
    384x = 116,007.52
  5. Step 5: Solve for x
    x = 116,007.52/384
  6. Step 6: Final answer
    x = 302.10

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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.