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Finding the Fourth Proportional to 233.50, 322.83 and 223.30

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Solution

The fourth proportional to 233.50, 322.83 and 223.30 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 322.83 = 223.30 : x
  2. Step 2: Convert to fraction form
    233.50/322.83 = 223.30/x
  3. Step 3: Cross multiply
    233.50x = 322.83 × 223.30
  4. Step 4: Simplify right side
    233.50x = 72,087.94
  5. Step 5: Solve for x
    x = 72,087.94/233.50
  6. Step 6: Final answer
    x = 308.73

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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.