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Finding the Fourth Proportional to 174.33, 260.94 and 120.06

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Solution

The fourth proportional to 174.33, 260.94 and 120.06 is: 179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.33 : 260.94 = 120.06 : x
  2. Step 2: Convert to fraction form
    174.33/260.94 = 120.06/x
  3. Step 3: Cross multiply
    174.33x = 260.94 × 120.06
  4. Step 4: Simplify right side
    174.33x = 31,328.46
  5. Step 5: Solve for x
    x = 31,328.46/174.33
  6. Step 6: Final answer
    x = 179.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.