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Finding the Fourth Proportional to 427.52, 641.34 and 138.98

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Solution

The fourth proportional to 427.52, 641.34 and 138.98 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 641.34 = 138.98 : x
  2. Step 2: Convert to fraction form
    427.52/641.34 = 138.98/x
  3. Step 3: Cross multiply
    427.52x = 641.34 × 138.98
  4. Step 4: Simplify right side
    427.52x = 89,133.43
  5. Step 5: Solve for x
    x = 89,133.43/427.52
  6. Step 6: Final answer
    x = 208.49

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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.