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Finding the Fourth Proportional to 442.23, 663.31 and 182.16

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Solution

The fourth proportional to 442.23, 663.31 and 182.16 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 663.31 = 182.16 : x
  2. Step 2: Convert to fraction form
    442.23/663.31 = 182.16/x
  3. Step 3: Cross multiply
    442.23x = 663.31 × 182.16
  4. Step 4: Simplify right side
    442.23x = 120,828.55
  5. Step 5: Solve for x
    x = 120,828.55/442.23
  6. Step 6: Final answer
    x = 273.23

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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.