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Finding the Fourth Proportional to 166.70, 230 and 104.60

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Solution

The fourth proportional to 166.70, 230 and 104.60 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.70 : 230 = 104.60 : x
  2. Step 2: Convert to fraction form
    166.70/230 = 104.60/x
  3. Step 3: Cross multiply
    166.70x = 230 × 104.60
  4. Step 4: Simplify right side
    166.70x = 24,058
  5. Step 5: Solve for x
    x = 24,058/166.70
  6. Step 6: Final answer
    x = 144.32

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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.