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Finding the Fourth Proportional to 140.94, 194.49 and 128.70

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Solution

The fourth proportional to 140.94, 194.49 and 128.70 is: 177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 194.49 = 128.70 : x
  2. Step 2: Convert to fraction form
    140.94/194.49 = 128.70/x
  3. Step 3: Cross multiply
    140.94x = 194.49 × 128.70
  4. Step 4: Simplify right side
    140.94x = 25,030.86
  5. Step 5: Solve for x
    x = 25,030.86/140.94
  6. Step 6: Final answer
    x = 177.60

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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.