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Finding the Fourth Proportional to 238.83, 329.63 and 140.64

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Solution

The fourth proportional to 238.83, 329.63 and 140.64 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.83 : 329.63 = 140.64 : x
  2. Step 2: Convert to fraction form
    238.83/329.63 = 140.64/x
  3. Step 3: Cross multiply
    238.83x = 329.63 × 140.64
  4. Step 4: Simplify right side
    238.83x = 46,358.46
  5. Step 5: Solve for x
    x = 46,358.46/238.83
  6. Step 6: Final answer
    x = 194.11

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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.