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Finding the Fourth Proportional to 174.81, 262.04 and 120.72

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Solution

The fourth proportional to 174.81, 262.04 and 120.72 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 262.04 = 120.72 : x
  2. Step 2: Convert to fraction form
    174.81/262.04 = 120.72/x
  3. Step 3: Cross multiply
    174.81x = 262.04 × 120.72
  4. Step 4: Simplify right side
    174.81x = 31,632.87
  5. Step 5: Solve for x
    x = 31,632.87/174.81
  6. Step 6: Final answer
    x = 180.96

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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.