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Finding the Fourth Proportional to 182.48, 273.39 and 176.10

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Solution

The fourth proportional to 182.48, 273.39 and 176.10 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 273.39 = 176.10 : x
  2. Step 2: Convert to fraction form
    182.48/273.39 = 176.10/x
  3. Step 3: Cross multiply
    182.48x = 273.39 × 176.10
  4. Step 4: Simplify right side
    182.48x = 48,143.98
  5. Step 5: Solve for x
    x = 48,143.98/182.48
  6. Step 6: Final answer
    x = 263.84

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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.