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Finding the Fourth Proportional to 319.89, 441.43 and 180.02

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Solution

The fourth proportional to 319.89, 441.43 and 180.02 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.89 : 441.43 = 180.02 : x
  2. Step 2: Convert to fraction form
    319.89/441.43 = 180.02/x
  3. Step 3: Cross multiply
    319.89x = 441.43 × 180.02
  4. Step 4: Simplify right side
    319.89x = 79,466.23
  5. Step 5: Solve for x
    x = 79,466.23/319.89
  6. Step 6: Final answer
    x = 248.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.