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Finding the Fourth Proportional to 234.86, 352.40 and 230

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Solution

The fourth proportional to 234.86, 352.40 and 230 is: 345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 352.40 = 230 : x
  2. Step 2: Convert to fraction form
    234.86/352.40 = 230/x
  3. Step 3: Cross multiply
    234.86x = 352.40 × 230
  4. Step 4: Simplify right side
    234.86x = 81,052
  5. Step 5: Solve for x
    x = 81,052/234.86
  6. Step 6: Final answer
    x = 345.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.