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Finding the Fourth Proportional to 233.46, 322.01 and 223.11

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Solution

The fourth proportional to 233.46, 322.01 and 223.11 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 322.01 = 223.11 : x
  2. Step 2: Convert to fraction form
    233.46/322.01 = 223.11/x
  3. Step 3: Cross multiply
    233.46x = 322.01 × 223.11
  4. Step 4: Simplify right side
    233.46x = 71,842.54
  5. Step 5: Solve for x
    x = 71,842.54/233.46
  6. Step 6: Final answer
    x = 307.73

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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.