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Finding the Fourth Proportional to 442.84, 664.09 and 134.78

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Solution

The fourth proportional to 442.84, 664.09 and 134.78 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 664.09 = 134.78 : x
  2. Step 2: Convert to fraction form
    442.84/664.09 = 134.78/x
  3. Step 3: Cross multiply
    442.84x = 664.09 × 134.78
  4. Step 4: Simplify right side
    442.84x = 89,506.05
  5. Step 5: Solve for x
    x = 89,506.05/442.84
  6. Step 6: Final answer
    x = 202.12

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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.