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Finding the Fourth Proportional to 174.46, 240.63 and 161.50

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Solution

The fourth proportional to 174.46, 240.63 and 161.50 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 240.63 = 161.50 : x
  2. Step 2: Convert to fraction form
    174.46/240.63 = 161.50/x
  3. Step 3: Cross multiply
    174.46x = 240.63 × 161.50
  4. Step 4: Simplify right side
    174.46x = 38,861.75
  5. Step 5: Solve for x
    x = 38,861.75/174.46
  6. Step 6: Final answer
    x = 222.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.