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Finding the Fourth Proportional to 441.36, 662.20 and 152.78

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Solution

The fourth proportional to 441.36, 662.20 and 152.78 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.36 : 662.20 = 152.78 : x
  2. Step 2: Convert to fraction form
    441.36/662.20 = 152.78/x
  3. Step 3: Cross multiply
    441.36x = 662.20 × 152.78
  4. Step 4: Simplify right side
    441.36x = 101,170.92
  5. Step 5: Solve for x
    x = 101,170.92/441.36
  6. Step 6: Final answer
    x = 229.23

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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.