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Finding the Fourth Proportional to 441.51, 662.39 and 149.07

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Solution

The fourth proportional to 441.51, 662.39 and 149.07 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.51 : 662.39 = 149.07 : x
  2. Step 2: Convert to fraction form
    441.51/662.39 = 149.07/x
  3. Step 3: Cross multiply
    441.51x = 662.39 × 149.07
  4. Step 4: Simplify right side
    441.51x = 98,742.48
  5. Step 5: Solve for x
    x = 98,742.48/441.51
  6. Step 6: Final answer
    x = 223.65

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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.