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Finding the Fourth Proportional to 320.19, 441.85 and 180.31

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Solution

The fourth proportional to 320.19, 441.85 and 180.31 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 441.85 = 180.31 : x
  2. Step 2: Convert to fraction form
    320.19/441.85 = 180.31/x
  3. Step 3: Cross multiply
    320.19x = 441.85 × 180.31
  4. Step 4: Simplify right side
    320.19x = 79,669.09
  5. Step 5: Solve for x
    x = 79,669.09/320.19
  6. Step 6: Final answer
    x = 248.82

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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.