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Finding the Fourth Proportional to 243.63, 365.26 and 147.42

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Solution

The fourth proportional to 243.63, 365.26 and 147.42 is: 221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 365.26 = 147.42 : x
  2. Step 2: Convert to fraction form
    243.63/365.26 = 147.42/x
  3. Step 3: Cross multiply
    243.63x = 365.26 × 147.42
  4. Step 4: Simplify right side
    243.63x = 53,846.63
  5. Step 5: Solve for x
    x = 53,846.63/243.63
  6. Step 6: Final answer
    x = 221.02

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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.