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Finding the Fourth Proportional to 238.40, 328.85 and 140.14

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Solution

The fourth proportional to 238.40, 328.85 and 140.14 is: 193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.40 : 328.85 = 140.14 : x
  2. Step 2: Convert to fraction form
    238.40/328.85 = 140.14/x
  3. Step 3: Cross multiply
    238.40x = 328.85 × 140.14
  4. Step 4: Simplify right side
    238.40x = 46,083.39
  5. Step 5: Solve for x
    x = 46,083.39/238.40
  6. Step 6: Final answer
    x = 193.30

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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.