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Finding the Fourth Proportional to 172.89, 257.93 and 171.67

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Solution

The fourth proportional to 172.89, 257.93 and 171.67 is: 256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.89 : 257.93 = 171.67 : x
  2. Step 2: Convert to fraction form
    172.89/257.93 = 171.67/x
  3. Step 3: Cross multiply
    172.89x = 257.93 × 171.67
  4. Step 4: Simplify right side
    172.89x = 44,278.84
  5. Step 5: Solve for x
    x = 44,278.84/172.89
  6. Step 6: Final answer
    x = 256.11

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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.