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Finding the Fourth Proportional to 319.97, 441.56 and 180.08

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Solution

The fourth proportional to 319.97, 441.56 and 180.08 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 441.56 = 180.08 : x
  2. Step 2: Convert to fraction form
    319.97/441.56 = 180.08/x
  3. Step 3: Cross multiply
    319.97x = 441.56 × 180.08
  4. Step 4: Simplify right side
    319.97x = 79,516.12
  5. Step 5: Solve for x
    x = 79,516.12/319.97
  6. Step 6: Final answer
    x = 248.51

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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.