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Finding the Fourth Proportional to 172.56, 259.36 and 161.28

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Solution

The fourth proportional to 172.56, 259.36 and 161.28 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 259.36 = 161.28 : x
  2. Step 2: Convert to fraction form
    172.56/259.36 = 161.28/x
  3. Step 3: Cross multiply
    172.56x = 259.36 × 161.28
  4. Step 4: Simplify right side
    172.56x = 41,829.58
  5. Step 5: Solve for x
    x = 41,829.58/172.56
  6. Step 6: Final answer
    x = 242.41

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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.