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Finding the Fourth Proportional to 446.67, 669.92 and 138.42

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Solution

The fourth proportional to 446.67, 669.92 and 138.42 is: 207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.67 : 669.92 = 138.42 : x
  2. Step 2: Convert to fraction form
    446.67/669.92 = 138.42/x
  3. Step 3: Cross multiply
    446.67x = 669.92 × 138.42
  4. Step 4: Simplify right side
    446.67x = 92,729.63
  5. Step 5: Solve for x
    x = 92,729.63/446.67
  6. Step 6: Final answer
    x = 207.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.