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Finding the Fourth Proportional to 194.73, 267.53 and 157.77

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Solution

The fourth proportional to 194.73, 267.53 and 157.77 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.73 : 267.53 = 157.77 : x
  2. Step 2: Convert to fraction form
    194.73/267.53 = 157.77/x
  3. Step 3: Cross multiply
    194.73x = 267.53 × 157.77
  4. Step 4: Simplify right side
    194.73x = 42,208.21
  5. Step 5: Solve for x
    x = 42,208.21/194.73
  6. Step 6: Final answer
    x = 216.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.