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Finding the Fourth Proportional to 185.63, 276.75 and 173.88

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Solution

The fourth proportional to 185.63, 276.75 and 173.88 is: 259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.63 : 276.75 = 173.88 : x
  2. Step 2: Convert to fraction form
    185.63/276.75 = 173.88/x
  3. Step 3: Cross multiply
    185.63x = 276.75 × 173.88
  4. Step 4: Simplify right side
    185.63x = 48,121.29
  5. Step 5: Solve for x
    x = 48,121.29/185.63
  6. Step 6: Final answer
    x = 259.24

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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.