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Finding the Fourth Proportional to 243.24, 364.86 and 222.36

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Solution

The fourth proportional to 243.24, 364.86 and 222.36 is: 333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.24 : 364.86 = 222.36 : x
  2. Step 2: Convert to fraction form
    243.24/364.86 = 222.36/x
  3. Step 3: Cross multiply
    243.24x = 364.86 × 222.36
  4. Step 4: Simplify right side
    243.24x = 81,130.27
  5. Step 5: Solve for x
    x = 81,130.27/243.24
  6. Step 6: Final answer
    x = 333.54

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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.