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Finding the Fourth Proportional to 243.63, 365.46 and 113.64

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Solution

The fourth proportional to 243.63, 365.46 and 113.64 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 365.46 = 113.64 : x
  2. Step 2: Convert to fraction form
    243.63/365.46 = 113.64/x
  3. Step 3: Cross multiply
    243.63x = 365.46 × 113.64
  4. Step 4: Simplify right side
    243.63x = 41,530.87
  5. Step 5: Solve for x
    x = 41,530.87/243.63
  6. Step 6: Final answer
    x = 170.47

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Why These Related Problems?

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