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Finding the Fourth Proportional to 384.13, 575.99 and 140.62

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Solution

The fourth proportional to 384.13, 575.99 and 140.62 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 575.99 = 140.62 : x
  2. Step 2: Convert to fraction form
    384.13/575.99 = 140.62/x
  3. Step 3: Cross multiply
    384.13x = 575.99 × 140.62
  4. Step 4: Simplify right side
    384.13x = 80,995.71
  5. Step 5: Solve for x
    x = 80,995.71/384.13
  6. Step 6: Final answer
    x = 210.85

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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.