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Finding the Fourth Proportional to 326.50, 450.93 and 222.82

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Solution

The fourth proportional to 326.50, 450.93 and 222.82 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.93 = 222.82 : x
  2. Step 2: Convert to fraction form
    326.50/450.93 = 222.82/x
  3. Step 3: Cross multiply
    326.50x = 450.93 × 222.82
  4. Step 4: Simplify right side
    326.50x = 100,476.22
  5. Step 5: Solve for x
    x = 100,476.22/326.50
  6. Step 6: Final answer
    x = 307.74

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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.