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Finding the Fourth Proportional to 441.42, 662.01 and 152.82

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Solution

The fourth proportional to 441.42, 662.01 and 152.82 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 662.01 = 152.82 : x
  2. Step 2: Convert to fraction form
    441.42/662.01 = 152.82/x
  3. Step 3: Cross multiply
    441.42x = 662.01 × 152.82
  4. Step 4: Simplify right side
    441.42x = 101,168.37
  5. Step 5: Solve for x
    x = 101,168.37/441.42
  6. Step 6: Final answer
    x = 229.19

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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.