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Finding the Fourth Proportional to 442.55, 663.78 and 182.48

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Solution

The fourth proportional to 442.55, 663.78 and 182.48 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 663.78 = 182.48 : x
  2. Step 2: Convert to fraction form
    442.55/663.78 = 182.48/x
  3. Step 3: Cross multiply
    442.55x = 663.78 × 182.48
  4. Step 4: Simplify right side
    442.55x = 121,126.57
  5. Step 5: Solve for x
    x = 121,126.57/442.55
  6. Step 6: Final answer
    x = 273.70

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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.