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Finding the Fourth Proportional to 182.41, 251.84 and 130.06

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Solution

The fourth proportional to 182.41, 251.84 and 130.06 is: 179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 251.84 = 130.06 : x
  2. Step 2: Convert to fraction form
    182.41/251.84 = 130.06/x
  3. Step 3: Cross multiply
    182.41x = 251.84 × 130.06
  4. Step 4: Simplify right side
    182.41x = 32,753.03
  5. Step 5: Solve for x
    x = 32,753.03/182.41
  6. Step 6: Final answer
    x = 179.56

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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.