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Finding the Fourth Proportional to 182.19, 273.28 and 45.24

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Solution

The fourth proportional to 182.19, 273.28 and 45.24 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.19 : 273.28 = 45.24 : x
  2. Step 2: Convert to fraction form
    182.19/273.28 = 45.24/x
  3. Step 3: Cross multiply
    182.19x = 273.28 × 45.24
  4. Step 4: Simplify right side
    182.19x = 12,363.19
  5. Step 5: Solve for x
    x = 12,363.19/182.19
  6. Step 6: Final answer
    x = 67.86

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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.