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Finding the Fourth Proportional to 309.64, 427.26 and 193.12

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Solution

The fourth proportional to 309.64, 427.26 and 193.12 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 427.26 = 193.12 : x
  2. Step 2: Convert to fraction form
    309.64/427.26 = 193.12/x
  3. Step 3: Cross multiply
    309.64x = 427.26 × 193.12
  4. Step 4: Simplify right side
    309.64x = 82,512.45
  5. Step 5: Solve for x
    x = 82,512.45/309.64
  6. Step 6: Final answer
    x = 266.48

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