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Finding the Fourth Proportional to 320.01, 441.52 and 193.92

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Solution

The fourth proportional to 320.01, 441.52 and 193.92 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.01 : 441.52 = 193.92 : x
  2. Step 2: Convert to fraction form
    320.01/441.52 = 193.92/x
  3. Step 3: Cross multiply
    320.01x = 441.52 × 193.92
  4. Step 4: Simplify right side
    320.01x = 85,619.56
  5. Step 5: Solve for x
    x = 85,619.56/320.01
  6. Step 6: Final answer
    x = 267.55

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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.