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Finding the Fourth Proportional to 182.23, 251.46 and 111.30

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Solution

The fourth proportional to 182.23, 251.46 and 111.30 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.23 : 251.46 = 111.30 : x
  2. Step 2: Convert to fraction form
    182.23/251.46 = 111.30/x
  3. Step 3: Cross multiply
    182.23x = 251.46 × 111.30
  4. Step 4: Simplify right side
    182.23x = 27,986.77
  5. Step 5: Solve for x
    x = 27,986.77/182.23
  6. Step 6: Final answer
    x = 153.58

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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.