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Finding the Fourth Proportional to 514.42, 771.63 and 172.66

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Solution

The fourth proportional to 514.42, 771.63 and 172.66 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.42 : 771.63 = 172.66 : x
  2. Step 2: Convert to fraction form
    514.42/771.63 = 172.66/x
  3. Step 3: Cross multiply
    514.42x = 771.63 × 172.66
  4. Step 4: Simplify right side
    514.42x = 133,229.64
  5. Step 5: Solve for x
    x = 133,229.64/514.42
  6. Step 6: Final answer
    x = 258.99

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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.