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Finding the Fourth Proportional to 309.76, 427.26 and 193.24

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Solution

The fourth proportional to 309.76, 427.26 and 193.24 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 427.26 = 193.24 : x
  2. Step 2: Convert to fraction form
    309.76/427.26 = 193.24/x
  3. Step 3: Cross multiply
    309.76x = 427.26 × 193.24
  4. Step 4: Simplify right side
    309.76x = 82,563.72
  5. Step 5: Solve for x
    x = 82,563.72/309.76
  6. Step 6: Final answer
    x = 266.54

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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.