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Finding the Fourth Proportional to 447.14, 670.62 and 138.93

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Solution

The fourth proportional to 447.14, 670.62 and 138.93 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 670.62 = 138.93 : x
  2. Step 2: Convert to fraction form
    447.14/670.62 = 138.93/x
  3. Step 3: Cross multiply
    447.14x = 670.62 × 138.93
  4. Step 4: Simplify right side
    447.14x = 93,169.24
  5. Step 5: Solve for x
    x = 93,169.24/447.14
  6. Step 6: Final answer
    x = 208.37

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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.