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Finding the Fourth Proportional to 319.85, 479.87 and 114.41

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Solution

The fourth proportional to 319.85, 479.87 and 114.41 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 479.87 = 114.41 : x
  2. Step 2: Convert to fraction form
    319.85/479.87 = 114.41/x
  3. Step 3: Cross multiply
    319.85x = 479.87 × 114.41
  4. Step 4: Simplify right side
    319.85x = 54,898.96
  5. Step 5: Solve for x
    x = 54,898.96/319.85
  6. Step 6: Final answer
    x = 171.64

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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.