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Finding the Fourth Proportional to 194.82, 292.86 and 154.32

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Solution

The fourth proportional to 194.82, 292.86 and 154.32 is: 231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 292.86 = 154.32 : x
  2. Step 2: Convert to fraction form
    194.82/292.86 = 154.32/x
  3. Step 3: Cross multiply
    194.82x = 292.86 × 154.32
  4. Step 4: Simplify right side
    194.82x = 45,194.16
  5. Step 5: Solve for x
    x = 45,194.16/194.82
  6. Step 6: Final answer
    x = 231.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.