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Finding the Fourth Proportional to 440.82, 660.89 and 180.89

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Solution

The fourth proportional to 440.82, 660.89 and 180.89 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.82 : 660.89 = 180.89 : x
  2. Step 2: Convert to fraction form
    440.82/660.89 = 180.89/x
  3. Step 3: Cross multiply
    440.82x = 660.89 × 180.89
  4. Step 4: Simplify right side
    440.82x = 119,544.18
  5. Step 5: Solve for x
    x = 119,544.18/440.82
  6. Step 6: Final answer
    x = 271.19

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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.