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Finding the Fourth Proportional to 194.47, 268.27 and 128.05

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Solution

The fourth proportional to 194.47, 268.27 and 128.05 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 268.27 = 128.05 : x
  2. Step 2: Convert to fraction form
    194.47/268.27 = 128.05/x
  3. Step 3: Cross multiply
    194.47x = 268.27 × 128.05
  4. Step 4: Simplify right side
    194.47x = 34,351.97
  5. Step 5: Solve for x
    x = 34,351.97/194.47
  6. Step 6: Final answer
    x = 176.64

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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.