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Finding the Fourth Proportional to 319.89, 479.66 and 114.43

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Solution

The fourth proportional to 319.89, 479.66 and 114.43 is: 171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.89 : 479.66 = 114.43 : x
  2. Step 2: Convert to fraction form
    319.89/479.66 = 114.43/x
  3. Step 3: Cross multiply
    319.89x = 479.66 × 114.43
  4. Step 4: Simplify right side
    319.89x = 54,887.49
  5. Step 5: Solve for x
    x = 54,887.49/319.89
  6. Step 6: Final answer
    x = 171.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.