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Finding the Fourth Proportional to 140.49, 193.48 and 140.04

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Solution

The fourth proportional to 140.49, 193.48 and 140.04 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.49 : 193.48 = 140.04 : x
  2. Step 2: Convert to fraction form
    140.49/193.48 = 140.04/x
  3. Step 3: Cross multiply
    140.49x = 193.48 × 140.04
  4. Step 4: Simplify right side
    140.49x = 27,093.27
  5. Step 5: Solve for x
    x = 27,093.27/140.49
  6. Step 6: Final answer
    x = 192.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.