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Finding the Fourth Proportional to 182.42, 273.77 and 124.50

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Solution

The fourth proportional to 182.42, 273.77 and 124.50 is: 186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.42 : 273.77 = 124.50 : x
  2. Step 2: Convert to fraction form
    182.42/273.77 = 124.50/x
  3. Step 3: Cross multiply
    182.42x = 273.77 × 124.50
  4. Step 4: Simplify right side
    182.42x = 34,084.37
  5. Step 5: Solve for x
    x = 34,084.37/182.42
  6. Step 6: Final answer
    x = 186.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.