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Finding the Fourth Proportional to 172.13, 256.64 and 167.67

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Solution

The fourth proportional to 172.13, 256.64 and 167.67 is: 249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 256.64 = 167.67 : x
  2. Step 2: Convert to fraction form
    172.13/256.64 = 167.67/x
  3. Step 3: Cross multiply
    172.13x = 256.64 × 167.67
  4. Step 4: Simplify right side
    172.13x = 43,029.99
  5. Step 5: Solve for x
    x = 43,029.99/172.13
  6. Step 6: Final answer
    x = 249.99

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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.