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Finding the Fourth Proportional to 238.61, 329.26 and 140.35

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Solution

The fourth proportional to 238.61, 329.26 and 140.35 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.61 : 329.26 = 140.35 : x
  2. Step 2: Convert to fraction form
    238.61/329.26 = 140.35/x
  3. Step 3: Cross multiply
    238.61x = 329.26 × 140.35
  4. Step 4: Simplify right side
    238.61x = 46,211.64
  5. Step 5: Solve for x
    x = 46,211.64/238.61
  6. Step 6: Final answer
    x = 193.67

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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.