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Finding the Fourth Proportional to 364.22, 546.33 and 107.78

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Solution

The fourth proportional to 364.22, 546.33 and 107.78 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.22 : 546.33 = 107.78 : x
  2. Step 2: Convert to fraction form
    364.22/546.33 = 107.78/x
  3. Step 3: Cross multiply
    364.22x = 546.33 × 107.78
  4. Step 4: Simplify right side
    364.22x = 58,883.45
  5. Step 5: Solve for x
    x = 58,883.45/364.22
  6. Step 6: Final answer
    x = 161.67

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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.