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Finding the Fourth Proportional to 513.47, 770.36 and 166.88

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Solution

The fourth proportional to 513.47, 770.36 and 166.88 is: 250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 770.36 = 166.88 : x
  2. Step 2: Convert to fraction form
    513.47/770.36 = 166.88/x
  3. Step 3: Cross multiply
    513.47x = 770.36 × 166.88
  4. Step 4: Simplify right side
    513.47x = 128,558.77
  5. Step 5: Solve for x
    x = 128,558.77/513.47
  6. Step 6: Final answer
    x = 250.37

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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.