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Finding the Fourth Proportional to 182.90, 252.21 and 131.06

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Solution

The fourth proportional to 182.90, 252.21 and 131.06 is: 180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.90 : 252.21 = 131.06 : x
  2. Step 2: Convert to fraction form
    182.90/252.21 = 131.06/x
  3. Step 3: Cross multiply
    182.90x = 252.21 × 131.06
  4. Step 4: Simplify right side
    182.90x = 33,054.64
  5. Step 5: Solve for x
    x = 33,054.64/182.90
  6. Step 6: Final answer
    x = 180.73

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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.