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Finding the Fourth Proportional to 243.51, 365.21 and 78.99

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Solution

The fourth proportional to 243.51, 365.21 and 78.99 is: 118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.51 : 365.21 = 78.99 : x
  2. Step 2: Convert to fraction form
    243.51/365.21 = 78.99/x
  3. Step 3: Cross multiply
    243.51x = 365.21 × 78.99
  4. Step 4: Simplify right side
    243.51x = 28,847.54
  5. Step 5: Solve for x
    x = 28,847.54/243.51
  6. Step 6: Final answer
    x = 118.47

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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.