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Finding the Fourth Proportional to 182, 251.04 and 119.06

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Solution

The fourth proportional to 182, 251.04 and 119.06 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 251.04 = 119.06 : x
  2. Step 2: Convert to fraction form
    182/251.04 = 119.06/x
  3. Step 3: Cross multiply
    182x = 251.04 × 119.06
  4. Step 4: Simplify right side
    182x = 29,888.82
  5. Step 5: Solve for x
    x = 29,888.82/182
  6. Step 6: Final answer
    x = 164.22

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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.