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Finding the Fourth Proportional to 141.32, 210.95 and 122.18

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Solution

The fourth proportional to 141.32, 210.95 and 122.18 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.32 : 210.95 = 122.18 : x
  2. Step 2: Convert to fraction form
    141.32/210.95 = 122.18/x
  3. Step 3: Cross multiply
    141.32x = 210.95 × 122.18
  4. Step 4: Simplify right side
    141.32x = 25,774.44
  5. Step 5: Solve for x
    x = 25,774.44/141.32
  6. Step 6: Final answer
    x = 182.39

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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.