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Finding the Fourth Proportional to 196.03, 293.71 and 154.72

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Solution

The fourth proportional to 196.03, 293.71 and 154.72 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 293.71 = 154.72 : x
  2. Step 2: Convert to fraction form
    196.03/293.71 = 154.72/x
  3. Step 3: Cross multiply
    196.03x = 293.71 × 154.72
  4. Step 4: Simplify right side
    196.03x = 45,442.81
  5. Step 5: Solve for x
    x = 45,442.81/196.03
  6. Step 6: Final answer
    x = 231.82

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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.