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Finding the Fourth Proportional to 172.64, 257.46 and 163.06

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Solution

The fourth proportional to 172.64, 257.46 and 163.06 is: 243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 257.46 = 163.06 : x
  2. Step 2: Convert to fraction form
    172.64/257.46 = 163.06/x
  3. Step 3: Cross multiply
    172.64x = 257.46 × 163.06
  4. Step 4: Simplify right side
    172.64x = 41,981.43
  5. Step 5: Solve for x
    x = 41,981.43/172.64
  6. Step 6: Final answer
    x = 243.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.