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Finding the Fourth Proportional to 319.88, 441.45 and 180.02

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Solution

The fourth proportional to 319.88, 441.45 and 180.02 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 441.45 = 180.02 : x
  2. Step 2: Convert to fraction form
    319.88/441.45 = 180.02/x
  3. Step 3: Cross multiply
    319.88x = 441.45 × 180.02
  4. Step 4: Simplify right side
    319.88x = 79,470.93
  5. Step 5: Solve for x
    x = 79,470.93/319.88
  6. Step 6: Final answer
    x = 248.44

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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.