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Finding the Fourth Proportional to 201.82, 278.29 and 128.05

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Solution

The fourth proportional to 201.82, 278.29 and 128.05 is: 176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 278.29 = 128.05 : x
  2. Step 2: Convert to fraction form
    201.82/278.29 = 128.05/x
  3. Step 3: Cross multiply
    201.82x = 278.29 × 128.05
  4. Step 4: Simplify right side
    201.82x = 35,635.03
  5. Step 5: Solve for x
    x = 35,635.03/201.82
  6. Step 6: Final answer
    x = 176.57

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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.