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Finding the Fourth Proportional to 514.49, 771.50 and 172.25

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Solution

The fourth proportional to 514.49, 771.50 and 172.25 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.49 : 771.50 = 172.25 : x
  2. Step 2: Convert to fraction form
    514.49/771.50 = 172.25/x
  3. Step 3: Cross multiply
    514.49x = 771.50 × 172.25
  4. Step 4: Simplify right side
    514.49x = 132,890.01
  5. Step 5: Solve for x
    x = 132,890.01/514.49
  6. Step 6: Final answer
    x = 258.29

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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.