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Finding the Fourth Proportional to 319.96, 441.42 and 180.05

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Solution

The fourth proportional to 319.96, 441.42 and 180.05 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 441.42 = 180.05 : x
  2. Step 2: Convert to fraction form
    319.96/441.42 = 180.05/x
  3. Step 3: Cross multiply
    319.96x = 441.42 × 180.05
  4. Step 4: Simplify right side
    319.96x = 79,475.46
  5. Step 5: Solve for x
    x = 79,475.46/319.96
  6. Step 6: Final answer
    x = 248.39

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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.