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Finding the Fourth Proportional to 309.29, 426.77 and 192.85

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Solution

The fourth proportional to 309.29, 426.77 and 192.85 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.29 : 426.77 = 192.85 : x
  2. Step 2: Convert to fraction form
    309.29/426.77 = 192.85/x
  3. Step 3: Cross multiply
    309.29x = 426.77 × 192.85
  4. Step 4: Simplify right side
    309.29x = 82,301.29
  5. Step 5: Solve for x
    x = 82,301.29/309.29
  6. Step 6: Final answer
    x = 266.10

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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.