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Finding the Fourth Proportional to 172.71, 259.34 and 144.09

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Solution

The fourth proportional to 172.71, 259.34 and 144.09 is: 216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 259.34 = 144.09 : x
  2. Step 2: Convert to fraction form
    172.71/259.34 = 144.09/x
  3. Step 3: Cross multiply
    172.71x = 259.34 × 144.09
  4. Step 4: Simplify right side
    172.71x = 37,367.58
  5. Step 5: Solve for x
    x = 37,367.58/172.71
  6. Step 6: Final answer
    x = 216.36

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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.