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Finding the Fourth Proportional to 384.11, 576.15 and 110.20

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Solution

The fourth proportional to 384.11, 576.15 and 110.20 is: 165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 576.15 = 110.20 : x
  2. Step 2: Convert to fraction form
    384.11/576.15 = 110.20/x
  3. Step 3: Cross multiply
    384.11x = 576.15 × 110.20
  4. Step 4: Simplify right side
    384.11x = 63,488.85
  5. Step 5: Solve for x
    x = 63,488.85/384.11
  6. Step 6: Final answer
    x = 165.29

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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.