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Finding the Fourth Proportional to 234.09, 322.56 and 225.99

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Solution

The fourth proportional to 234.09, 322.56 and 225.99 is: 311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.09 : 322.56 = 225.99 : x
  2. Step 2: Convert to fraction form
    234.09/322.56 = 225.99/x
  3. Step 3: Cross multiply
    234.09x = 322.56 × 225.99
  4. Step 4: Simplify right side
    234.09x = 72,895.33
  5. Step 5: Solve for x
    x = 72,895.33/234.09
  6. Step 6: Final answer
    x = 311.40

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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.