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Finding the Fourth Proportional to 196.34, 295.23 and 188.42

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Solution

The fourth proportional to 196.34, 295.23 and 188.42 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 295.23 = 188.42 : x
  2. Step 2: Convert to fraction form
    196.34/295.23 = 188.42/x
  3. Step 3: Cross multiply
    196.34x = 295.23 × 188.42
  4. Step 4: Simplify right side
    196.34x = 55,627.24
  5. Step 5: Solve for x
    x = 55,627.24/196.34
  6. Step 6: Final answer
    x = 283.32

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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.