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Finding the Fourth Proportional to 183.18, 252.75 and 157.05

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Solution

The fourth proportional to 183.18, 252.75 and 157.05 is: 216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.18 : 252.75 = 157.05 : x
  2. Step 2: Convert to fraction form
    183.18/252.75 = 157.05/x
  3. Step 3: Cross multiply
    183.18x = 252.75 × 157.05
  4. Step 4: Simplify right side
    183.18x = 39,694.39
  5. Step 5: Solve for x
    x = 39,694.39/183.18
  6. Step 6: Final answer
    x = 216.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.