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Finding the Fourth Proportional to 185.88, 276.86 and 176.12

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Solution

The fourth proportional to 185.88, 276.86 and 176.12 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 276.86 = 176.12 : x
  2. Step 2: Convert to fraction form
    185.88/276.86 = 176.12/x
  3. Step 3: Cross multiply
    185.88x = 276.86 × 176.12
  4. Step 4: Simplify right side
    185.88x = 48,759.70
  5. Step 5: Solve for x
    x = 48,759.70/185.88
  6. Step 6: Final answer
    x = 262.32

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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.