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Finding the Fourth Proportional to 182.24, 273.91 and 118.52

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Solution

The fourth proportional to 182.24, 273.91 and 118.52 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 273.91 = 118.52 : x
  2. Step 2: Convert to fraction form
    182.24/273.91 = 118.52/x
  3. Step 3: Cross multiply
    182.24x = 273.91 × 118.52
  4. Step 4: Simplify right side
    182.24x = 32,463.81
  5. Step 5: Solve for x
    x = 32,463.81/182.24
  6. Step 6: Final answer
    x = 178.14

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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.