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Finding the Fourth Proportional to 384.75, 576.82 and 222.14

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Solution

The fourth proportional to 384.75, 576.82 and 222.14 is: 333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 576.82 = 222.14 : x
  2. Step 2: Convert to fraction form
    384.75/576.82 = 222.14/x
  3. Step 3: Cross multiply
    384.75x = 576.82 × 222.14
  4. Step 4: Simplify right side
    384.75x = 128,136.51
  5. Step 5: Solve for x
    x = 128,136.51/384.75
  6. Step 6: Final answer
    x = 333.04

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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.