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Finding the Fourth Proportional to 263.34, 362.34 and 230.67

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Solution

The fourth proportional to 263.34, 362.34 and 230.67 is: 317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 362.34 = 230.67 : x
  2. Step 2: Convert to fraction form
    263.34/362.34 = 230.67/x
  3. Step 3: Cross multiply
    263.34x = 362.34 × 230.67
  4. Step 4: Simplify right side
    263.34x = 83,580.97
  5. Step 5: Solve for x
    x = 83,580.97/263.34
  6. Step 6: Final answer
    x = 317.39

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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.