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Finding the Fourth Proportional to 182.92, 273.06 and 176.08

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Solution

The fourth proportional to 182.92, 273.06 and 176.08 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 273.06 = 176.08 : x
  2. Step 2: Convert to fraction form
    182.92/273.06 = 176.08/x
  3. Step 3: Cross multiply
    182.92x = 273.06 × 176.08
  4. Step 4: Simplify right side
    182.92x = 48,080.40
  5. Step 5: Solve for x
    x = 48,080.40/182.92
  6. Step 6: Final answer
    x = 262.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.