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Finding the Fourth Proportional to 174.16, 260.52 and 138.16

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Solution

The fourth proportional to 174.16, 260.52 and 138.16 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 260.52 = 138.16 : x
  2. Step 2: Convert to fraction form
    174.16/260.52 = 138.16/x
  3. Step 3: Cross multiply
    174.16x = 260.52 × 138.16
  4. Step 4: Simplify right side
    174.16x = 35,993.44
  5. Step 5: Solve for x
    x = 35,993.44/174.16
  6. Step 6: Final answer
    x = 206.67

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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.