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Finding the Fourth Proportional to 140.96, 194.40 and 128

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Solution

The fourth proportional to 140.96, 194.40 and 128 is: 176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 194.40 = 128 : x
  2. Step 2: Convert to fraction form
    140.96/194.40 = 128/x
  3. Step 3: Cross multiply
    140.96x = 194.40 × 128
  4. Step 4: Simplify right side
    140.96x = 24,883.20
  5. Step 5: Solve for x
    x = 24,883.20/140.96
  6. Step 6: Final answer
    x = 176.53

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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.