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Finding the Fourth Proportional to 384.13, 576.20 and 110.20

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Solution

The fourth proportional to 384.13, 576.20 and 110.20 is: 165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 576.20 = 110.20 : x
  2. Step 2: Convert to fraction form
    384.13/576.20 = 110.20/x
  3. Step 3: Cross multiply
    384.13x = 576.20 × 110.20
  4. Step 4: Simplify right side
    384.13x = 63,497.24
  5. Step 5: Solve for x
    x = 63,497.24/384.13
  6. Step 6: Final answer
    x = 165.30

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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.