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Finding the Fourth Proportional to 384.25, 576.47 and 153.06

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Solution

The fourth proportional to 384.25, 576.47 and 153.06 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 576.47 = 153.06 : x
  2. Step 2: Convert to fraction form
    384.25/576.47 = 153.06/x
  3. Step 3: Cross multiply
    384.25x = 576.47 × 153.06
  4. Step 4: Simplify right side
    384.25x = 88,234.50
  5. Step 5: Solve for x
    x = 88,234.50/384.25
  6. Step 6: Final answer
    x = 229.63

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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.