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Finding the Fourth Proportional to 172.07, 257.43 and 151.46

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Solution

The fourth proportional to 172.07, 257.43 and 151.46 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.07 : 257.43 = 151.46 : x
  2. Step 2: Convert to fraction form
    172.07/257.43 = 151.46/x
  3. Step 3: Cross multiply
    172.07x = 257.43 × 151.46
  4. Step 4: Simplify right side
    172.07x = 38,990.35
  5. Step 5: Solve for x
    x = 38,990.35/172.07
  6. Step 6: Final answer
    x = 226.60

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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.