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Finding the Fourth Proportional to 243.88, 367.45 and 220.77

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Solution

The fourth proportional to 243.88, 367.45 and 220.77 is: 332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.88 : 367.45 = 220.77 : x
  2. Step 2: Convert to fraction form
    243.88/367.45 = 220.77/x
  3. Step 3: Cross multiply
    243.88x = 367.45 × 220.77
  4. Step 4: Simplify right side
    243.88x = 81,121.94
  5. Step 5: Solve for x
    x = 81,121.94/243.88
  6. Step 6: Final answer
    x = 332.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.