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Finding the Fourth Proportional to 599.06, 898.59 and 166.22

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Solution

The fourth proportional to 599.06, 898.59 and 166.22 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 898.59 = 166.22 : x
  2. Step 2: Convert to fraction form
    599.06/898.59 = 166.22/x
  3. Step 3: Cross multiply
    599.06x = 898.59 × 166.22
  4. Step 4: Simplify right side
    599.06x = 149,363.13
  5. Step 5: Solve for x
    x = 149,363.13/599.06
  6. Step 6: Final answer
    x = 249.33

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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.