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Finding the Fourth Proportional to 238.41, 328.84 and 140.16

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Solution

The fourth proportional to 238.41, 328.84 and 140.16 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 328.84 = 140.16 : x
  2. Step 2: Convert to fraction form
    238.41/328.84 = 140.16/x
  3. Step 3: Cross multiply
    238.41x = 328.84 × 140.16
  4. Step 4: Simplify right side
    238.41x = 46,091.10
  5. Step 5: Solve for x
    x = 46,091.10/238.41
  6. Step 6: Final answer
    x = 193.33

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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.