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Finding the Fourth Proportional to 599.80, 899.64 and 166.96

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Solution

The fourth proportional to 599.80, 899.64 and 166.96 is: 250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 899.64 = 166.96 : x
  2. Step 2: Convert to fraction form
    599.80/899.64 = 166.96/x
  3. Step 3: Cross multiply
    599.80x = 899.64 × 166.96
  4. Step 4: Simplify right side
    599.80x = 150,203.89
  5. Step 5: Solve for x
    x = 150,203.89/599.80
  6. Step 6: Final answer
    x = 250.42

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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.