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Finding the Fourth Proportional to 384.31, 576.81 and 178.99

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Solution

The fourth proportional to 384.31, 576.81 and 178.99 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.31 : 576.81 = 178.99 : x
  2. Step 2: Convert to fraction form
    384.31/576.81 = 178.99/x
  3. Step 3: Cross multiply
    384.31x = 576.81 × 178.99
  4. Step 4: Simplify right side
    384.31x = 103,245.38
  5. Step 5: Solve for x
    x = 103,245.38/384.31
  6. Step 6: Final answer
    x = 268.65

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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.