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Finding the Fourth Proportional to 183.80, 274.18 and 176.12

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Solution

The fourth proportional to 183.80, 274.18 and 176.12 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 274.18 = 176.12 : x
  2. Step 2: Convert to fraction form
    183.80/274.18 = 176.12/x
  3. Step 3: Cross multiply
    183.80x = 274.18 × 176.12
  4. Step 4: Simplify right side
    183.80x = 48,288.58
  5. Step 5: Solve for x
    x = 48,288.58/183.80
  6. Step 6: Final answer
    x = 262.72

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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.