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Finding the Fourth Proportional to 319.70, 479.61 and 114.22

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Solution

The fourth proportional to 319.70, 479.61 and 114.22 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 479.61 = 114.22 : x
  2. Step 2: Convert to fraction form
    319.70/479.61 = 114.22/x
  3. Step 3: Cross multiply
    319.70x = 479.61 × 114.22
  4. Step 4: Simplify right side
    319.70x = 54,778.09
  5. Step 5: Solve for x
    x = 54,778.09/319.70
  6. Step 6: Final answer
    x = 171.34

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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.