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Finding the Fourth Proportional to 384.02, 576.02 and 140.41

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Solution

The fourth proportional to 384.02, 576.02 and 140.41 is: 210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.02 : 576.02 = 140.41 : x
  2. Step 2: Convert to fraction form
    384.02/576.02 = 140.41/x
  3. Step 3: Cross multiply
    384.02x = 576.02 × 140.41
  4. Step 4: Simplify right side
    384.02x = 80,878.62
  5. Step 5: Solve for x
    x = 80,878.62/384.02
  6. Step 6: Final answer
    x = 210.61

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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.