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Finding the Fourth Proportional to 319.92, 441.51 and 180.03

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Solution

The fourth proportional to 319.92, 441.51 and 180.03 is: 248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 441.51 = 180.03 : x
  2. Step 2: Convert to fraction form
    319.92/441.51 = 180.03/x
  3. Step 3: Cross multiply
    319.92x = 441.51 × 180.03
  4. Step 4: Simplify right side
    319.92x = 79,485.05
  5. Step 5: Solve for x
    x = 79,485.05/319.92
  6. Step 6: Final answer
    x = 248.45

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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.