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Finding the Fourth Proportional to 174.75, 260.96 and 150.45

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Solution

The fourth proportional to 174.75, 260.96 and 150.45 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 260.96 = 150.45 : x
  2. Step 2: Convert to fraction form
    174.75/260.96 = 150.45/x
  3. Step 3: Cross multiply
    174.75x = 260.96 × 150.45
  4. Step 4: Simplify right side
    174.75x = 39,261.43
  5. Step 5: Solve for x
    x = 39,261.43/174.75
  6. Step 6: Final answer
    x = 224.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.