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Finding the Fourth Proportional to 243.76, 365.63 and 79.23

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Solution

The fourth proportional to 243.76, 365.63 and 79.23 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.76 : 365.63 = 79.23 : x
  2. Step 2: Convert to fraction form
    243.76/365.63 = 79.23/x
  3. Step 3: Cross multiply
    243.76x = 365.63 × 79.23
  4. Step 4: Simplify right side
    243.76x = 28,969.44
  5. Step 5: Solve for x
    x = 28,969.44/243.76
  6. Step 6: Final answer
    x = 118.84

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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.