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Finding the Fourth Proportional to 320.08, 441.57 and 195.76

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Solution

The fourth proportional to 320.08, 441.57 and 195.76 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.08 : 441.57 = 195.76 : x
  2. Step 2: Convert to fraction form
    320.08/441.57 = 195.76/x
  3. Step 3: Cross multiply
    320.08x = 441.57 × 195.76
  4. Step 4: Simplify right side
    320.08x = 86,441.74
  5. Step 5: Solve for x
    x = 86,441.74/320.08
  6. Step 6: Final answer
    x = 270.06

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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.