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Finding the Fourth Proportional to 599.22, 898.80 and 166.38

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Solution

The fourth proportional to 599.22, 898.80 and 166.38 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 898.80 = 166.38 : x
  2. Step 2: Convert to fraction form
    599.22/898.80 = 166.38/x
  3. Step 3: Cross multiply
    599.22x = 898.80 × 166.38
  4. Step 4: Simplify right side
    599.22x = 149,542.34
  5. Step 5: Solve for x
    x = 149,542.34/599.22
  6. Step 6: Final answer
    x = 249.56

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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.