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Finding the Fourth Proportional to 172.85, 238.27 and 141.71

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Solution

The fourth proportional to 172.85, 238.27 and 141.71 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 238.27 = 141.71 : x
  2. Step 2: Convert to fraction form
    172.85/238.27 = 141.71/x
  3. Step 3: Cross multiply
    172.85x = 238.27 × 141.71
  4. Step 4: Simplify right side
    172.85x = 33,765.24
  5. Step 5: Solve for x
    x = 33,765.24/172.85
  6. Step 6: Final answer
    x = 195.35

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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.