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Finding the Fourth Proportional to 599.85, 899.67 and 167

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Solution

The fourth proportional to 599.85, 899.67 and 167 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.85 : 899.67 = 167 : x
  2. Step 2: Convert to fraction form
    599.85/899.67 = 167/x
  3. Step 3: Cross multiply
    599.85x = 899.67 × 167
  4. Step 4: Simplify right side
    599.85x = 150,244.89
  5. Step 5: Solve for x
    x = 150,244.89/599.85
  6. Step 6: Final answer
    x = 250.47

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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.