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Finding the Fourth Proportional to 174.10, 261.07 and 120.02

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Solution

The fourth proportional to 174.10, 261.07 and 120.02 is: 179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.10 : 261.07 = 120.02 : x
  2. Step 2: Convert to fraction form
    174.10/261.07 = 120.02/x
  3. Step 3: Cross multiply
    174.10x = 261.07 × 120.02
  4. Step 4: Simplify right side
    174.10x = 31,333.62
  5. Step 5: Solve for x
    x = 31,333.62/174.10
  6. Step 6: Final answer
    x = 179.97

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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.