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Finding the Fourth Proportional to 384.19, 576.31 and 110.30

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Solution

The fourth proportional to 384.19, 576.31 and 110.30 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 576.31 = 110.30 : x
  2. Step 2: Convert to fraction form
    384.19/576.31 = 110.30/x
  3. Step 3: Cross multiply
    384.19x = 576.31 × 110.30
  4. Step 4: Simplify right side
    384.19x = 63,566.99
  5. Step 5: Solve for x
    x = 63,566.99/384.19
  6. Step 6: Final answer
    x = 165.46

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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.