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Finding the Fourth Proportional to 172.36, 258.40 and 110.70

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Solution

The fourth proportional to 172.36, 258.40 and 110.70 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.36 : 258.40 = 110.70 : x
  2. Step 2: Convert to fraction form
    172.36/258.40 = 110.70/x
  3. Step 3: Cross multiply
    172.36x = 258.40 × 110.70
  4. Step 4: Simplify right side
    172.36x = 28,604.88
  5. Step 5: Solve for x
    x = 28,604.88/172.36
  6. Step 6: Final answer
    x = 165.96

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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.