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Finding the Fourth Proportional to 253.98, 350.50 and 166.81

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Solution

The fourth proportional to 253.98, 350.50 and 166.81 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 350.50 = 166.81 : x
  2. Step 2: Convert to fraction form
    253.98/350.50 = 166.81/x
  3. Step 3: Cross multiply
    253.98x = 350.50 × 166.81
  4. Step 4: Simplify right side
    253.98x = 58,466.91
  5. Step 5: Solve for x
    x = 58,466.91/253.98
  6. Step 6: Final answer
    x = 230.20

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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.