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Finding the Fourth Proportional to 195.54, 292.77 and 123.18

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Solution

The fourth proportional to 195.54, 292.77 and 123.18 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.54 : 292.77 = 123.18 : x
  2. Step 2: Convert to fraction form
    195.54/292.77 = 123.18/x
  3. Step 3: Cross multiply
    195.54x = 292.77 × 123.18
  4. Step 4: Simplify right side
    195.54x = 36,063.41
  5. Step 5: Solve for x
    x = 36,063.41/195.54
  6. Step 6: Final answer
    x = 184.43

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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.