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Finding the Fourth Proportional to 446.91, 670.32 and 138.71

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Solution

The fourth proportional to 446.91, 670.32 and 138.71 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.91 : 670.32 = 138.71 : x
  2. Step 2: Convert to fraction form
    446.91/670.32 = 138.71/x
  3. Step 3: Cross multiply
    446.91x = 670.32 × 138.71
  4. Step 4: Simplify right side
    446.91x = 92,976.04
  5. Step 5: Solve for x
    x = 92,976.04/446.91
  6. Step 6: Final answer
    x = 208.04

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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.