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Finding the Fourth Proportional to 182.25, 250.84 and 133.03

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Solution

The fourth proportional to 182.25, 250.84 and 133.03 is: 183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 250.84 = 133.03 : x
  2. Step 2: Convert to fraction form
    182.25/250.84 = 133.03/x
  3. Step 3: Cross multiply
    182.25x = 250.84 × 133.03
  4. Step 4: Simplify right side
    182.25x = 33,369.25
  5. Step 5: Solve for x
    x = 33,369.25/182.25
  6. Step 6: Final answer
    x = 183.10

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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.