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Finding the Fourth Proportional to 182.97, 273.89 and 101.55

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Solution

The fourth proportional to 182.97, 273.89 and 101.55 is: 152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 273.89 = 101.55 : x
  2. Step 2: Convert to fraction form
    182.97/273.89 = 101.55/x
  3. Step 3: Cross multiply
    182.97x = 273.89 × 101.55
  4. Step 4: Simplify right side
    182.97x = 27,813.02
  5. Step 5: Solve for x
    x = 27,813.02/182.97
  6. Step 6: Final answer
    x = 152.01

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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.