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Finding the Fourth Proportional to 446.70, 670.01 and 186.54

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Solution

The fourth proportional to 446.70, 670.01 and 186.54 is: 279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 670.01 = 186.54 : x
  2. Step 2: Convert to fraction form
    446.70/670.01 = 186.54/x
  3. Step 3: Cross multiply
    446.70x = 670.01 × 186.54
  4. Step 4: Simplify right side
    446.70x = 124,982.73
  5. Step 5: Solve for x
    x = 124,982.73/446.70
  6. Step 6: Final answer
    x = 279.79

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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.