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Finding the Fourth Proportional to 185.13, 276.23 and 167.82

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Solution

The fourth proportional to 185.13, 276.23 and 167.82 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 276.23 = 167.82 : x
  2. Step 2: Convert to fraction form
    185.13/276.23 = 167.82/x
  3. Step 3: Cross multiply
    185.13x = 276.23 × 167.82
  4. Step 4: Simplify right side
    185.13x = 46,356.30
  5. Step 5: Solve for x
    x = 46,356.30/185.13
  6. Step 6: Final answer
    x = 250.40

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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.