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Finding the Fourth Proportional to 235.09, 324.24 and 224.75

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Solution

The fourth proportional to 235.09, 324.24 and 224.75 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.09 : 324.24 = 224.75 : x
  2. Step 2: Convert to fraction form
    235.09/324.24 = 224.75/x
  3. Step 3: Cross multiply
    235.09x = 324.24 × 224.75
  4. Step 4: Simplify right side
    235.09x = 72,872.94
  5. Step 5: Solve for x
    x = 72,872.94/235.09
  6. Step 6: Final answer
    x = 309.98

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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.