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Finding the Fourth Proportional to 446.14, 669.22 and 121.54

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Solution

The fourth proportional to 446.14, 669.22 and 121.54 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.14 : 669.22 = 121.54 : x
  2. Step 2: Convert to fraction form
    446.14/669.22 = 121.54/x
  3. Step 3: Cross multiply
    446.14x = 669.22 × 121.54
  4. Step 4: Simplify right side
    446.14x = 81,337.00
  5. Step 5: Solve for x
    x = 81,337.00/446.14
  6. Step 6: Final answer
    x = 182.31

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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.