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Finding the Fourth Proportional to 319.23, 478.42 and 182.07

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Solution

The fourth proportional to 319.23, 478.42 and 182.07 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 478.42 = 182.07 : x
  2. Step 2: Convert to fraction form
    319.23/478.42 = 182.07/x
  3. Step 3: Cross multiply
    319.23x = 478.42 × 182.07
  4. Step 4: Simplify right side
    319.23x = 87,105.93
  5. Step 5: Solve for x
    x = 87,105.93/319.23
  6. Step 6: Final answer
    x = 272.86

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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.