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Finding the Fourth Proportional to 196.88, 294.89 and 105.53

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Solution

The fourth proportional to 196.88, 294.89 and 105.53 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 294.89 = 105.53 : x
  2. Step 2: Convert to fraction form
    196.88/294.89 = 105.53/x
  3. Step 3: Cross multiply
    196.88x = 294.89 × 105.53
  4. Step 4: Simplify right side
    196.88x = 31,117.74
  5. Step 5: Solve for x
    x = 31,117.74/196.88
  6. Step 6: Final answer
    x = 158.06

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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.