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Finding the Fourth Proportional to 185.58, 276.98 and 167.40

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Solution

The fourth proportional to 185.58, 276.98 and 167.40 is: 249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.58 : 276.98 = 167.40 : x
  2. Step 2: Convert to fraction form
    185.58/276.98 = 167.40/x
  3. Step 3: Cross multiply
    185.58x = 276.98 × 167.40
  4. Step 4: Simplify right side
    185.58x = 46,365.62
  5. Step 5: Solve for x
    x = 46,365.62/185.58
  6. Step 6: Final answer
    x = 249.84

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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.