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Finding the Fourth Proportional to 174.06, 260.46 and 128.34

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Solution

The fourth proportional to 174.06, 260.46 and 128.34 is: 192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.06 : 260.46 = 128.34 : x
  2. Step 2: Convert to fraction form
    174.06/260.46 = 128.34/x
  3. Step 3: Cross multiply
    174.06x = 260.46 × 128.34
  4. Step 4: Simplify right side
    174.06x = 33,427.44
  5. Step 5: Solve for x
    x = 33,427.44/174.06
  6. Step 6: Final answer
    x = 192.05

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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.