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Finding the Fourth Proportional to 309.13, 426.45 and 192.67

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Solution

The fourth proportional to 309.13, 426.45 and 192.67 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 426.45 = 192.67 : x
  2. Step 2: Convert to fraction form
    309.13/426.45 = 192.67/x
  3. Step 3: Cross multiply
    309.13x = 426.45 × 192.67
  4. Step 4: Simplify right side
    309.13x = 82,164.12
  5. Step 5: Solve for x
    x = 82,164.12/309.13
  6. Step 6: Final answer
    x = 265.79

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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.