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Finding the Fourth Proportional to 599.32, 898.98 and 166.48

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Solution

The fourth proportional to 599.32, 898.98 and 166.48 is: 249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 898.98 = 166.48 : x
  2. Step 2: Convert to fraction form
    599.32/898.98 = 166.48/x
  3. Step 3: Cross multiply
    599.32x = 898.98 × 166.48
  4. Step 4: Simplify right side
    599.32x = 149,662.19
  5. Step 5: Solve for x
    x = 149,662.19/599.32
  6. Step 6: Final answer
    x = 249.72

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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.