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Finding the Fourth Proportional to 166.98, 230.57 and 104.84

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Solution

The fourth proportional to 166.98, 230.57 and 104.84 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.98 : 230.57 = 104.84 : x
  2. Step 2: Convert to fraction form
    166.98/230.57 = 104.84/x
  3. Step 3: Cross multiply
    166.98x = 230.57 × 104.84
  4. Step 4: Simplify right side
    166.98x = 24,172.96
  5. Step 5: Solve for x
    x = 24,172.96/166.98
  6. Step 6: Final answer
    x = 144.77

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Why These Related Problems?

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