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Finding the Fourth Proportional to 263.34, 362.95 and 233.17

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Solution

The fourth proportional to 263.34, 362.95 and 233.17 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 362.95 = 233.17 : x
  2. Step 2: Convert to fraction form
    263.34/362.95 = 233.17/x
  3. Step 3: Cross multiply
    263.34x = 362.95 × 233.17
  4. Step 4: Simplify right side
    263.34x = 84,629.05
  5. Step 5: Solve for x
    x = 84,629.05/263.34
  6. Step 6: Final answer
    x = 321.37

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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.