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Finding the Fourth Proportional to 384.14, 576.08 and 140.62

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Solution

The fourth proportional to 384.14, 576.08 and 140.62 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 576.08 = 140.62 : x
  2. Step 2: Convert to fraction form
    384.14/576.08 = 140.62/x
  3. Step 3: Cross multiply
    384.14x = 576.08 × 140.62
  4. Step 4: Simplify right side
    384.14x = 81,008.37
  5. Step 5: Solve for x
    x = 81,008.37/384.14
  6. Step 6: Final answer
    x = 210.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.