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Finding the Fourth Proportional to 182.76, 272.73 and 176.85

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Solution

The fourth proportional to 182.76, 272.73 and 176.85 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.76 : 272.73 = 176.85 : x
  2. Step 2: Convert to fraction form
    182.76/272.73 = 176.85/x
  3. Step 3: Cross multiply
    182.76x = 272.73 × 176.85
  4. Step 4: Simplify right side
    182.76x = 48,232.30
  5. Step 5: Solve for x
    x = 48,232.30/182.76
  6. Step 6: Final answer
    x = 263.91

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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.