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Finding the Fourth Proportional to 309.36, 426.93 and 204.51

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Solution

The fourth proportional to 309.36, 426.93 and 204.51 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 426.93 = 204.51 : x
  2. Step 2: Convert to fraction form
    309.36/426.93 = 204.51/x
  3. Step 3: Cross multiply
    309.36x = 426.93 × 204.51
  4. Step 4: Simplify right side
    309.36x = 87,311.45
  5. Step 5: Solve for x
    x = 87,311.45/309.36
  6. Step 6: Final answer
    x = 282.23

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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.