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Finding the Fourth Proportional to 174.28, 260.01 and 161.21

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Solution

The fourth proportional to 174.28, 260.01 and 161.21 is: 240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.28 : 260.01 = 161.21 : x
  2. Step 2: Convert to fraction form
    174.28/260.01 = 161.21/x
  3. Step 3: Cross multiply
    174.28x = 260.01 × 161.21
  4. Step 4: Simplify right side
    174.28x = 41,914.36
  5. Step 5: Solve for x
    x = 41,914.36/174.28
  6. Step 6: Final answer
    x = 240.50

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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.