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Finding the Fourth Proportional to 384.47, 576.27 and 165.03

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Solution

The fourth proportional to 384.47, 576.27 and 165.03 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 576.27 = 165.03 : x
  2. Step 2: Convert to fraction form
    384.47/576.27 = 165.03/x
  3. Step 3: Cross multiply
    384.47x = 576.27 × 165.03
  4. Step 4: Simplify right side
    384.47x = 95,101.84
  5. Step 5: Solve for x
    x = 95,101.84/384.47
  6. Step 6: Final answer
    x = 247.36

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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.