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Finding the Fourth Proportional to 196.33, 294.40 and 88.06

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Solution

The fourth proportional to 196.33, 294.40 and 88.06 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.33 : 294.40 = 88.06 : x
  2. Step 2: Convert to fraction form
    196.33/294.40 = 88.06/x
  3. Step 3: Cross multiply
    196.33x = 294.40 × 88.06
  4. Step 4: Simplify right side
    196.33x = 25,924.86
  5. Step 5: Solve for x
    x = 25,924.86/196.33
  6. Step 6: Final answer
    x = 132.05

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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.