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Finding the Fourth Proportional to 172.84, 258.94 and 168.36

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Solution

The fourth proportional to 172.84, 258.94 and 168.36 is: 252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 258.94 = 168.36 : x
  2. Step 2: Convert to fraction form
    172.84/258.94 = 168.36/x
  3. Step 3: Cross multiply
    172.84x = 258.94 × 168.36
  4. Step 4: Simplify right side
    172.84x = 43,595.14
  5. Step 5: Solve for x
    x = 43,595.14/172.84
  6. Step 6: Final answer
    x = 252.23

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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.