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Finding the Fourth Proportional to 309.82, 427.63 and 193.32

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Solution

The fourth proportional to 309.82, 427.63 and 193.32 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 427.63 = 193.32 : x
  2. Step 2: Convert to fraction form
    309.82/427.63 = 193.32/x
  3. Step 3: Cross multiply
    309.82x = 427.63 × 193.32
  4. Step 4: Simplify right side
    309.82x = 82,669.43
  5. Step 5: Solve for x
    x = 82,669.43/309.82
  6. Step 6: Final answer
    x = 266.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.