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Finding the Fourth Proportional to 364.22, 546.38 and 220.86

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Solution

The fourth proportional to 364.22, 546.38 and 220.86 is: 331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.22 : 546.38 = 220.86 : x
  2. Step 2: Convert to fraction form
    364.22/546.38 = 220.86/x
  3. Step 3: Cross multiply
    364.22x = 546.38 × 220.86
  4. Step 4: Simplify right side
    364.22x = 120,673.49
  5. Step 5: Solve for x
    x = 120,673.49/364.22
  6. Step 6: Final answer
    x = 331.32

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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.