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Finding the Fourth Proportional to 319.91, 479.24 and 187.82

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Solution

The fourth proportional to 319.91, 479.24 and 187.82 is: 281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.91 : 479.24 = 187.82 : x
  2. Step 2: Convert to fraction form
    319.91/479.24 = 187.82/x
  3. Step 3: Cross multiply
    319.91x = 479.24 × 187.82
  4. Step 4: Simplify right side
    319.91x = 90,007.52
  5. Step 5: Solve for x
    x = 90,007.52/319.91
  6. Step 6: Final answer
    x = 281.36

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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.