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Finding the Fourth Proportional to 243.11, 365.21 and 146.99

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Solution

The fourth proportional to 243.11, 365.21 and 146.99 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 365.21 = 146.99 : x
  2. Step 2: Convert to fraction form
    243.11/365.21 = 146.99/x
  3. Step 3: Cross multiply
    243.11x = 365.21 × 146.99
  4. Step 4: Simplify right side
    243.11x = 53,682.22
  5. Step 5: Solve for x
    x = 53,682.22/243.11
  6. Step 6: Final answer
    x = 220.81

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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.