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Finding the Fourth Proportional to 599.42, 899.15 and 166.58

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Solution

The fourth proportional to 599.42, 899.15 and 166.58 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 899.15 = 166.58 : x
  2. Step 2: Convert to fraction form
    599.42/899.15 = 166.58/x
  3. Step 3: Cross multiply
    599.42x = 899.15 × 166.58
  4. Step 4: Simplify right side
    599.42x = 149,780.41
  5. Step 5: Solve for x
    x = 149,780.41/599.42
  6. Step 6: Final answer
    x = 249.88

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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.