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Finding the Fourth Proportional to 182.53, 273.57 and 91.18

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Solution

The fourth proportional to 182.53, 273.57 and 91.18 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.53 : 273.57 = 91.18 : x
  2. Step 2: Convert to fraction form
    182.53/273.57 = 91.18/x
  3. Step 3: Cross multiply
    182.53x = 273.57 × 91.18
  4. Step 4: Simplify right side
    182.53x = 24,944.11
  5. Step 5: Solve for x
    x = 24,944.11/182.53
  6. Step 6: Final answer
    x = 136.66

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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.