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Finding the Fourth Proportional to 234.85, 324.27 and 202.45

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Solution

The fourth proportional to 234.85, 324.27 and 202.45 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.85 : 324.27 = 202.45 : x
  2. Step 2: Convert to fraction form
    234.85/324.27 = 202.45/x
  3. Step 3: Cross multiply
    234.85x = 324.27 × 202.45
  4. Step 4: Simplify right side
    234.85x = 65,648.46
  5. Step 5: Solve for x
    x = 65,648.46/234.85
  6. Step 6: Final answer
    x = 279.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.