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Finding the Fourth Proportional to 442.23, 662.89 and 149.64

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Solution

The fourth proportional to 442.23, 662.89 and 149.64 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 662.89 = 149.64 : x
  2. Step 2: Convert to fraction form
    442.23/662.89 = 149.64/x
  3. Step 3: Cross multiply
    442.23x = 662.89 × 149.64
  4. Step 4: Simplify right side
    442.23x = 99,192.56
  5. Step 5: Solve for x
    x = 99,192.56/442.23
  6. Step 6: Final answer
    x = 224.30

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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.