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Finding the Fourth Proportional to 182.52, 273.84 and 97

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Solution

The fourth proportional to 182.52, 273.84 and 97 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.52 : 273.84 = 97 : x
  2. Step 2: Convert to fraction form
    182.52/273.84 = 97/x
  3. Step 3: Cross multiply
    182.52x = 273.84 × 97
  4. Step 4: Simplify right side
    182.52x = 26,562.48
  5. Step 5: Solve for x
    x = 26,562.48/182.52
  6. Step 6: Final answer
    x = 145.53

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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.