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Finding the Fourth Proportional to 183.29, 252.68 and 113.31

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Solution

The fourth proportional to 183.29, 252.68 and 113.31 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.29 : 252.68 = 113.31 : x
  2. Step 2: Convert to fraction form
    183.29/252.68 = 113.31/x
  3. Step 3: Cross multiply
    183.29x = 252.68 × 113.31
  4. Step 4: Simplify right side
    183.29x = 28,631.45
  5. Step 5: Solve for x
    x = 28,631.45/183.29
  6. Step 6: Final answer
    x = 156.21

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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.