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Finding the Fourth Proportional to 174.26, 262.72 and 162.50

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Solution

The fourth proportional to 174.26, 262.72 and 162.50 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.26 : 262.72 = 162.50 : x
  2. Step 2: Convert to fraction form
    174.26/262.72 = 162.50/x
  3. Step 3: Cross multiply
    174.26x = 262.72 × 162.50
  4. Step 4: Simplify right side
    174.26x = 42,692.00
  5. Step 5: Solve for x
    x = 42,692.00/174.26
  6. Step 6: Final answer
    x = 244.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.