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Finding the Fourth Proportional to 183.55, 252.84 and 157.23

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Solution

The fourth proportional to 183.55, 252.84 and 157.23 is: 216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.55 : 252.84 = 157.23 : x
  2. Step 2: Convert to fraction form
    183.55/252.84 = 157.23/x
  3. Step 3: Cross multiply
    183.55x = 252.84 × 157.23
  4. Step 4: Simplify right side
    183.55x = 39,754.35
  5. Step 5: Solve for x
    x = 39,754.35/183.55
  6. Step 6: Final answer
    x = 216.59

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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.