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Finding the Fourth Proportional to 195.02, 269.06 and 129.50

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Solution

The fourth proportional to 195.02, 269.06 and 129.50 is: 178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 269.06 = 129.50 : x
  2. Step 2: Convert to fraction form
    195.02/269.06 = 129.50/x
  3. Step 3: Cross multiply
    195.02x = 269.06 × 129.50
  4. Step 4: Simplify right side
    195.02x = 34,843.27
  5. Step 5: Solve for x
    x = 34,843.27/195.02
  6. Step 6: Final answer
    x = 178.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.