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Finding the Fourth Proportional to 182.02, 272.42 and 109.93

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Solution

The fourth proportional to 182.02, 272.42 and 109.93 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.02 : 272.42 = 109.93 : x
  2. Step 2: Convert to fraction form
    182.02/272.42 = 109.93/x
  3. Step 3: Cross multiply
    182.02x = 272.42 × 109.93
  4. Step 4: Simplify right side
    182.02x = 29,947.13
  5. Step 5: Solve for x
    x = 29,947.13/182.02
  6. Step 6: Final answer
    x = 164.53

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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.