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Finding the Fourth Proportional to 196.17, 294.32 and 93.59

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Solution

The fourth proportional to 196.17, 294.32 and 93.59 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 294.32 = 93.59 : x
  2. Step 2: Convert to fraction form
    196.17/294.32 = 93.59/x
  3. Step 3: Cross multiply
    196.17x = 294.32 × 93.59
  4. Step 4: Simplify right side
    196.17x = 27,543.47
  5. Step 5: Solve for x
    x = 27,543.47/196.17
  6. Step 6: Final answer
    x = 140.41

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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.