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Finding the Fourth Proportional to 309.48, 427.01 and 199.13

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Solution

The fourth proportional to 309.48, 427.01 and 199.13 is: 274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 427.01 = 199.13 : x
  2. Step 2: Convert to fraction form
    309.48/427.01 = 199.13/x
  3. Step 3: Cross multiply
    309.48x = 427.01 × 199.13
  4. Step 4: Simplify right side
    309.48x = 85,027.37
  5. Step 5: Solve for x
    x = 85,027.37/309.48
  6. Step 6: Final answer
    x = 274.74

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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.