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Finding the Fourth Proportional to 234.98, 352.40 and 143.66

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Solution

The fourth proportional to 234.98, 352.40 and 143.66 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 352.40 = 143.66 : x
  2. Step 2: Convert to fraction form
    234.98/352.40 = 143.66/x
  3. Step 3: Cross multiply
    234.98x = 352.40 × 143.66
  4. Step 4: Simplify right side
    234.98x = 50,625.78
  5. Step 5: Solve for x
    x = 50,625.78/234.98
  6. Step 6: Final answer
    x = 215.45

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