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Finding the Fourth Proportional to 319.83, 479.78 and 114.45

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Solution

The fourth proportional to 319.83, 479.78 and 114.45 is: 171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.83 : 479.78 = 114.45 : x
  2. Step 2: Convert to fraction form
    319.83/479.78 = 114.45/x
  3. Step 3: Cross multiply
    319.83x = 479.78 × 114.45
  4. Step 4: Simplify right side
    319.83x = 54,912.22
  5. Step 5: Solve for x
    x = 54,912.22/319.83
  6. Step 6: Final answer
    x = 171.69

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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.