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Finding the Fourth Proportional to 172.14, 256.71 and 162.56

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Solution

The fourth proportional to 172.14, 256.71 and 162.56 is: 242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.14 : 256.71 = 162.56 : x
  2. Step 2: Convert to fraction form
    172.14/256.71 = 162.56/x
  3. Step 3: Cross multiply
    172.14x = 256.71 × 162.56
  4. Step 4: Simplify right side
    172.14x = 41,729.49
  5. Step 5: Solve for x
    x = 41,729.49/172.14
  6. Step 6: Final answer
    x = 242.42

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Why These Related Problems?

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