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Finding the Fourth Proportional to 446.66, 670.07 and 172.73

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Solution

The fourth proportional to 446.66, 670.07 and 172.73 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 670.07 = 172.73 : x
  2. Step 2: Convert to fraction form
    446.66/670.07 = 172.73/x
  3. Step 3: Cross multiply
    446.66x = 670.07 × 172.73
  4. Step 4: Simplify right side
    446.66x = 115,736.98
  5. Step 5: Solve for x
    x = 115,736.98/446.66
  6. Step 6: Final answer
    x = 259.12

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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.