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Finding the Fourth Proportional to 441.43, 662.15 and 184.75

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Solution

The fourth proportional to 441.43, 662.15 and 184.75 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.43 : 662.15 = 184.75 : x
  2. Step 2: Convert to fraction form
    441.43/662.15 = 184.75/x
  3. Step 3: Cross multiply
    441.43x = 662.15 × 184.75
  4. Step 4: Simplify right side
    441.43x = 122,332.21
  5. Step 5: Solve for x
    x = 122,332.21/441.43
  6. Step 6: Final answer
    x = 277.13

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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.