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Finding the Fourth Proportional to 442.01, 663 and 182.13

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Solution

The fourth proportional to 442.01, 663 and 182.13 is: 273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.01 : 663 = 182.13 : x
  2. Step 2: Convert to fraction form
    442.01/663 = 182.13/x
  3. Step 3: Cross multiply
    442.01x = 663 × 182.13
  4. Step 4: Simplify right side
    442.01x = 120,752.19
  5. Step 5: Solve for x
    x = 120,752.19/442.01
  6. Step 6: Final answer
    x = 273.19

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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.