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Finding the Fourth Proportional to 174.84, 261.81 and 120.66

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Solution

The fourth proportional to 174.84, 261.81 and 120.66 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 261.81 = 120.66 : x
  2. Step 2: Convert to fraction form
    174.84/261.81 = 120.66/x
  3. Step 3: Cross multiply
    174.84x = 261.81 × 120.66
  4. Step 4: Simplify right side
    174.84x = 31,589.99
  5. Step 5: Solve for x
    x = 31,589.99/174.84
  6. Step 6: Final answer
    x = 180.68

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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.