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Finding the Fourth Proportional to 172.72, 258.27 and 145.99

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Solution

The fourth proportional to 172.72, 258.27 and 145.99 is: 218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.72 : 258.27 = 145.99 : x
  2. Step 2: Convert to fraction form
    172.72/258.27 = 145.99/x
  3. Step 3: Cross multiply
    172.72x = 258.27 × 145.99
  4. Step 4: Simplify right side
    172.72x = 37,704.84
  5. Step 5: Solve for x
    x = 37,704.84/172.72
  6. Step 6: Final answer
    x = 218.30

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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.