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Finding the Fourth Proportional to 141.17, 210.83 and 120.38

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Solution

The fourth proportional to 141.17, 210.83 and 120.38 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.17 : 210.83 = 120.38 : x
  2. Step 2: Convert to fraction form
    141.17/210.83 = 120.38/x
  3. Step 3: Cross multiply
    141.17x = 210.83 × 120.38
  4. Step 4: Simplify right side
    141.17x = 25,380.09
  5. Step 5: Solve for x
    x = 25,380.09/141.17
  6. Step 6: Final answer
    x = 179.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.