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Finding the Fourth Proportional to 196.03, 270.51 and 113.14

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Solution

The fourth proportional to 196.03, 270.51 and 113.14 is: 156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 270.51 = 113.14 : x
  2. Step 2: Convert to fraction form
    196.03/270.51 = 113.14/x
  3. Step 3: Cross multiply
    196.03x = 270.51 × 113.14
  4. Step 4: Simplify right side
    196.03x = 30,605.50
  5. Step 5: Solve for x
    x = 30,605.50/196.03
  6. Step 6: Final answer
    x = 156.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.