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Finding the Fourth Proportional to 196.37, 293.88 and 123.32

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Solution

The fourth proportional to 196.37, 293.88 and 123.32 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.37 : 293.88 = 123.32 : x
  2. Step 2: Convert to fraction form
    196.37/293.88 = 123.32/x
  3. Step 3: Cross multiply
    196.37x = 293.88 × 123.32
  4. Step 4: Simplify right side
    196.37x = 36,241.79
  5. Step 5: Solve for x
    x = 36,241.79/196.37
  6. Step 6: Final answer
    x = 184.55

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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.