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Finding the Fourth Proportional to 182.16, 273.32 and 90.84

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Solution

The fourth proportional to 182.16, 273.32 and 90.84 is: 136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 273.32 = 90.84 : x
  2. Step 2: Convert to fraction form
    182.16/273.32 = 90.84/x
  3. Step 3: Cross multiply
    182.16x = 273.32 × 90.84
  4. Step 4: Simplify right side
    182.16x = 24,827.93
  5. Step 5: Solve for x
    x = 24,827.93/182.16
  6. Step 6: Final answer
    x = 136.30

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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.