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Finding the Fourth Proportional to 319.31, 477.74 and 182.42

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Solution

The fourth proportional to 319.31, 477.74 and 182.42 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.31 : 477.74 = 182.42 : x
  2. Step 2: Convert to fraction form
    319.31/477.74 = 182.42/x
  3. Step 3: Cross multiply
    319.31x = 477.74 × 182.42
  4. Step 4: Simplify right side
    319.31x = 87,146.03
  5. Step 5: Solve for x
    x = 87,146.03/319.31
  6. Step 6: Final answer
    x = 272.92

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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.