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Finding the Fourth Proportional to 172.74, 257.68 and 167.67

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Solution

The fourth proportional to 172.74, 257.68 and 167.67 is: 250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 257.68 = 167.67 : x
  2. Step 2: Convert to fraction form
    172.74/257.68 = 167.67/x
  3. Step 3: Cross multiply
    172.74x = 257.68 × 167.67
  4. Step 4: Simplify right side
    172.74x = 43,204.79
  5. Step 5: Solve for x
    x = 43,204.79/172.74
  6. Step 6: Final answer
    x = 250.11

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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.