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Finding the Fourth Proportional to 182.74, 252.32 and 176.92

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Solution

The fourth proportional to 182.74, 252.32 and 176.92 is: 244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.74 : 252.32 = 176.92 : x
  2. Step 2: Convert to fraction form
    182.74/252.32 = 176.92/x
  3. Step 3: Cross multiply
    182.74x = 252.32 × 176.92
  4. Step 4: Simplify right side
    182.74x = 44,640.45
  5. Step 5: Solve for x
    x = 44,640.45/182.74
  6. Step 6: Final answer
    x = 244.28

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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.