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Finding the Fourth Proportional to 194.02, 267.06 and 162.58

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Solution

The fourth proportional to 194.02, 267.06 and 162.58 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 267.06 = 162.58 : x
  2. Step 2: Convert to fraction form
    194.02/267.06 = 162.58/x
  3. Step 3: Cross multiply
    194.02x = 267.06 × 162.58
  4. Step 4: Simplify right side
    194.02x = 43,418.61
  5. Step 5: Solve for x
    x = 43,418.61/194.02
  6. Step 6: Final answer
    x = 223.78

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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.