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Finding the Fourth Proportional to 599.77, 899.53 and 166.83

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Solution

The fourth proportional to 599.77, 899.53 and 166.83 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.77 : 899.53 = 166.83 : x
  2. Step 2: Convert to fraction form
    599.77/899.53 = 166.83/x
  3. Step 3: Cross multiply
    599.77x = 899.53 × 166.83
  4. Step 4: Simplify right side
    599.77x = 150,068.59
  5. Step 5: Solve for x
    x = 150,068.59/599.77
  6. Step 6: Final answer
    x = 250.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.