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Finding the Fourth Proportional to 320.13, 441.76 and 180.25

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Solution

The fourth proportional to 320.13, 441.76 and 180.25 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.13 : 441.76 = 180.25 : x
  2. Step 2: Convert to fraction form
    320.13/441.76 = 180.25/x
  3. Step 3: Cross multiply
    320.13x = 441.76 × 180.25
  4. Step 4: Simplify right side
    320.13x = 79,627.24
  5. Step 5: Solve for x
    x = 79,627.24/320.13
  6. Step 6: Final answer
    x = 248.73

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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.