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Finding the Fourth Proportional to 183.26, 252.89 and 157.01

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Solution

The fourth proportional to 183.26, 252.89 and 157.01 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.26 : 252.89 = 157.01 : x
  2. Step 2: Convert to fraction form
    183.26/252.89 = 157.01/x
  3. Step 3: Cross multiply
    183.26x = 252.89 × 157.01
  4. Step 4: Simplify right side
    183.26x = 39,704.80
  5. Step 5: Solve for x
    x = 39,704.80/183.26
  6. Step 6: Final answer
    x = 216.66

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Why These Related Problems?

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