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Finding the Fourth Proportional to 243.21, 364.41 and 106.05

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Solution

The fourth proportional to 243.21, 364.41 and 106.05 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 364.41 = 106.05 : x
  2. Step 2: Convert to fraction form
    243.21/364.41 = 106.05/x
  3. Step 3: Cross multiply
    243.21x = 364.41 × 106.05
  4. Step 4: Simplify right side
    243.21x = 38,645.68
  5. Step 5: Solve for x
    x = 38,645.68/243.21
  6. Step 6: Final answer
    x = 158.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.