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Finding the Fourth Proportional to 599.06, 898.63 and 166.25

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Solution

The fourth proportional to 599.06, 898.63 and 166.25 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 898.63 = 166.25 : x
  2. Step 2: Convert to fraction form
    599.06/898.63 = 166.25/x
  3. Step 3: Cross multiply
    599.06x = 898.63 × 166.25
  4. Step 4: Simplify right side
    599.06x = 149,399.07
  5. Step 5: Solve for x
    x = 149,399.07/599.06
  6. Step 6: Final answer
    x = 249.39

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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.