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Finding the Fourth Proportional to 446.37, 669.56 and 121.74

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Solution

The fourth proportional to 446.37, 669.56 and 121.74 is: 182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.37 : 669.56 = 121.74 : x
  2. Step 2: Convert to fraction form
    446.37/669.56 = 121.74/x
  3. Step 3: Cross multiply
    446.37x = 669.56 × 121.74
  4. Step 4: Simplify right side
    446.37x = 81,512.28
  5. Step 5: Solve for x
    x = 81,512.28/446.37
  6. Step 6: Final answer
    x = 182.61

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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.