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Finding the Fourth Proportional to 238.30, 328.84 and 140.12

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Solution

The fourth proportional to 238.30, 328.84 and 140.12 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.30 : 328.84 = 140.12 : x
  2. Step 2: Convert to fraction form
    238.30/328.84 = 140.12/x
  3. Step 3: Cross multiply
    238.30x = 328.84 × 140.12
  4. Step 4: Simplify right side
    238.30x = 46,077.09
  5. Step 5: Solve for x
    x = 46,077.09/238.30
  6. Step 6: Final answer
    x = 193.36

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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.