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Finding the Fourth Proportional to 320.17, 441.87 and 180.29

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Solution

The fourth proportional to 320.17, 441.87 and 180.29 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 441.87 = 180.29 : x
  2. Step 2: Convert to fraction form
    320.17/441.87 = 180.29/x
  3. Step 3: Cross multiply
    320.17x = 441.87 × 180.29
  4. Step 4: Simplify right side
    320.17x = 79,664.74
  5. Step 5: Solve for x
    x = 79,664.74/320.17
  6. Step 6: Final answer
    x = 248.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.