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Finding the Fourth Proportional to 172.46, 238.19 and 130.94

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Solution

The fourth proportional to 172.46, 238.19 and 130.94 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 238.19 = 130.94 : x
  2. Step 2: Convert to fraction form
    172.46/238.19 = 130.94/x
  3. Step 3: Cross multiply
    172.46x = 238.19 × 130.94
  4. Step 4: Simplify right side
    172.46x = 31,188.60
  5. Step 5: Solve for x
    x = 31,188.60/172.46
  6. Step 6: Final answer
    x = 180.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.