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Finding the Fourth Proportional to 442.70, 664.16 and 134.65

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Solution

The fourth proportional to 442.70, 664.16 and 134.65 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.70 : 664.16 = 134.65 : x
  2. Step 2: Convert to fraction form
    442.70/664.16 = 134.65/x
  3. Step 3: Cross multiply
    442.70x = 664.16 × 134.65
  4. Step 4: Simplify right side
    442.70x = 89,429.14
  5. Step 5: Solve for x
    x = 89,429.14/442.70
  6. Step 6: Final answer
    x = 202.01

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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.