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Finding the Fourth Proportional to 319.71, 479.71 and 189.96

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Solution

The fourth proportional to 319.71, 479.71 and 189.96 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 479.71 = 189.96 : x
  2. Step 2: Convert to fraction form
    319.71/479.71 = 189.96/x
  3. Step 3: Cross multiply
    319.71x = 479.71 × 189.96
  4. Step 4: Simplify right side
    319.71x = 91,125.78
  5. Step 5: Solve for x
    x = 91,125.78/319.71
  6. Step 6: Final answer
    x = 285.02

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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.