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Finding the Fourth Proportional to 599.79, 899.55 and 166.95

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Solution

The fourth proportional to 599.79, 899.55 and 166.95 is: 250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 899.55 = 166.95 : x
  2. Step 2: Convert to fraction form
    599.79/899.55 = 166.95/x
  3. Step 3: Cross multiply
    599.79x = 899.55 × 166.95
  4. Step 4: Simplify right side
    599.79x = 150,179.87
  5. Step 5: Solve for x
    x = 150,179.87/599.79
  6. Step 6: Final answer
    x = 250.39

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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.