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Finding the Fourth Proportional to 182.04, 251.01 and 164.55

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Solution

The fourth proportional to 182.04, 251.01 and 164.55 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 251.01 = 164.55 : x
  2. Step 2: Convert to fraction form
    182.04/251.01 = 164.55/x
  3. Step 3: Cross multiply
    182.04x = 251.01 × 164.55
  4. Step 4: Simplify right side
    182.04x = 41,303.70
  5. Step 5: Solve for x
    x = 41,303.70/182.04
  6. Step 6: Final answer
    x = 226.89

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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.