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Finding the Fourth Proportional to 319.16, 478.44 and 182.24

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Solution

The fourth proportional to 319.16, 478.44 and 182.24 is: 273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.16 : 478.44 = 182.24 : x
  2. Step 2: Convert to fraction form
    319.16/478.44 = 182.24/x
  3. Step 3: Cross multiply
    319.16x = 478.44 × 182.24
  4. Step 4: Simplify right side
    319.16x = 87,190.91
  5. Step 5: Solve for x
    x = 87,190.91/319.16
  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.