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Finding the Fourth Proportional to 319.90, 479.78 and 114.46

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Solution

The fourth proportional to 319.90, 479.78 and 114.46 is: 171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 479.78 = 114.46 : x
  2. Step 2: Convert to fraction form
    319.90/479.78 = 114.46/x
  3. Step 3: Cross multiply
    319.90x = 479.78 × 114.46
  4. Step 4: Simplify right side
    319.90x = 54,915.62
  5. Step 5: Solve for x
    x = 54,915.62/319.90
  6. Step 6: Final answer
    x = 171.66

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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.