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Finding the Fourth Proportional to 234.95, 324.34 and 182.50

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Solution

The fourth proportional to 234.95, 324.34 and 182.50 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 324.34 = 182.50 : x
  2. Step 2: Convert to fraction form
    234.95/324.34 = 182.50/x
  3. Step 3: Cross multiply
    234.95x = 324.34 × 182.50
  4. Step 4: Simplify right side
    234.95x = 59,190.78
  5. Step 5: Solve for x
    x = 59,190.78/234.95
  6. Step 6: Final answer
    x = 251.93

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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.