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Finding the Fourth Proportional to 155.22, 214.41 and 118.46

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Solution

The fourth proportional to 155.22, 214.41 and 118.46 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.22 : 214.41 = 118.46 : x
  2. Step 2: Convert to fraction form
    155.22/214.41 = 118.46/x
  3. Step 3: Cross multiply
    155.22x = 214.41 × 118.46
  4. Step 4: Simplify right side
    155.22x = 25,397.94
  5. Step 5: Solve for x
    x = 25,397.94/155.22
  6. Step 6: Final answer
    x = 163.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.