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Finding the Fourth Proportional to 141.59, 211.42 and 122.15

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Solution

The fourth proportional to 141.59, 211.42 and 122.15 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.59 : 211.42 = 122.15 : x
  2. Step 2: Convert to fraction form
    141.59/211.42 = 122.15/x
  3. Step 3: Cross multiply
    141.59x = 211.42 × 122.15
  4. Step 4: Simplify right side
    141.59x = 25,824.95
  5. Step 5: Solve for x
    x = 25,824.95/141.59
  6. Step 6: Final answer
    x = 182.39

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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.