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Finding the Fourth Proportional to 384.45, 576.69 and 140.99

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Solution

The fourth proportional to 384.45, 576.69 and 140.99 is: 211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 576.69 = 140.99 : x
  2. Step 2: Convert to fraction form
    384.45/576.69 = 140.99/x
  3. Step 3: Cross multiply
    384.45x = 576.69 × 140.99
  4. Step 4: Simplify right side
    384.45x = 81,304.64
  5. Step 5: Solve for x
    x = 81,304.64/384.45
  6. Step 6: Final answer
    x = 211.48

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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.