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Finding the Fourth Proportional to 238.63, 329.70 and 189.93

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Solution

The fourth proportional to 238.63, 329.70 and 189.93 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.63 : 329.70 = 189.93 : x
  2. Step 2: Convert to fraction form
    238.63/329.70 = 189.93/x
  3. Step 3: Cross multiply
    238.63x = 329.70 × 189.93
  4. Step 4: Simplify right side
    238.63x = 62,619.92
  5. Step 5: Solve for x
    x = 62,619.92/238.63
  6. Step 6: Final answer
    x = 262.41

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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.