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Finding the Fourth Proportional to 196.17, 293.80 and 114.85

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Solution

The fourth proportional to 196.17, 293.80 and 114.85 is: 172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 293.80 = 114.85 : x
  2. Step 2: Convert to fraction form
    196.17/293.80 = 114.85/x
  3. Step 3: Cross multiply
    196.17x = 293.80 × 114.85
  4. Step 4: Simplify right side
    196.17x = 33,742.93
  5. Step 5: Solve for x
    x = 33,742.93/196.17
  6. Step 6: Final answer
    x = 172.01

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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.