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Finding the Fourth Proportional to 182.64, 273.96 and 45.68

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Solution

The fourth proportional to 182.64, 273.96 and 45.68 is: 68.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 273.96 = 45.68 : x
  2. Step 2: Convert to fraction form
    182.64/273.96 = 45.68/x
  3. Step 3: Cross multiply
    182.64x = 273.96 × 45.68
  4. Step 4: Simplify right side
    182.64x = 12,514.49
  5. Step 5: Solve for x
    x = 12,514.49/182.64
  6. Step 6: Final answer
    x = 68.52

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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.