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Finding the Fourth Proportional to 182.73, 251.55 and 176.81

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Solution

The fourth proportional to 182.73, 251.55 and 176.81 is: 243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.73 : 251.55 = 176.81 : x
  2. Step 2: Convert to fraction form
    182.73/251.55 = 176.81/x
  3. Step 3: Cross multiply
    182.73x = 251.55 × 176.81
  4. Step 4: Simplify right side
    182.73x = 44,476.56
  5. Step 5: Solve for x
    x = 44,476.56/182.73
  6. Step 6: Final answer
    x = 243.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.