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Finding the Fourth Proportional to 309.06, 426.42 and 191.03

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Solution

The fourth proportional to 309.06, 426.42 and 191.03 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 426.42 = 191.03 : x
  2. Step 2: Convert to fraction form
    309.06/426.42 = 191.03/x
  3. Step 3: Cross multiply
    309.06x = 426.42 × 191.03
  4. Step 4: Simplify right side
    309.06x = 81,460.08
  5. Step 5: Solve for x
    x = 81,460.08/309.06
  6. Step 6: Final answer
    x = 263.57

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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.