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Finding the Fourth Proportional to 182.06, 249.70 and 174.62

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Solution

The fourth proportional to 182.06, 249.70 and 174.62 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 249.70 = 174.62 : x
  2. Step 2: Convert to fraction form
    182.06/249.70 = 174.62/x
  3. Step 3: Cross multiply
    182.06x = 249.70 × 174.62
  4. Step 4: Simplify right side
    182.06x = 43,602.61
  5. Step 5: Solve for x
    x = 43,602.61/182.06
  6. Step 6: Final answer
    x = 239.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.