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Finding the Fourth Proportional to 246.23, 339.25 and 233

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Solution

The fourth proportional to 246.23, 339.25 and 233 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.23 : 339.25 = 233 : x
  2. Step 2: Convert to fraction form
    246.23/339.25 = 233/x
  3. Step 3: Cross multiply
    246.23x = 339.25 × 233
  4. Step 4: Simplify right side
    246.23x = 79,045.25
  5. Step 5: Solve for x
    x = 79,045.25/246.23
  6. Step 6: Final answer
    x = 321.02

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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.