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Finding the Fourth Proportional to 141.22, 210.82 and 123

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Solution

The fourth proportional to 141.22, 210.82 and 123 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.22 : 210.82 = 123 : x
  2. Step 2: Convert to fraction form
    141.22/210.82 = 123/x
  3. Step 3: Cross multiply
    141.22x = 210.82 × 123
  4. Step 4: Simplify right side
    141.22x = 25,930.86
  5. Step 5: Solve for x
    x = 25,930.86/141.22
  6. Step 6: Final answer
    x = 183.62

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