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Finding the Fourth Proportional to 513.50, 770.25 and 171.50

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Solution

The fourth proportional to 513.50, 770.25 and 171.50 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 770.25 = 171.50 : x
  2. Step 2: Convert to fraction form
    513.50/770.25 = 171.50/x
  3. Step 3: Cross multiply
    513.50x = 770.25 × 171.50
  4. Step 4: Simplify right side
    513.50x = 132,097.88
  5. Step 5: Solve for x
    x = 132,097.88/513.50
  6. Step 6: Final answer
    x = 257.25

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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.