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Finding the Fourth Proportional to 185.25, 254.79 and 160.74

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Solution

The fourth proportional to 185.25, 254.79 and 160.74 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 254.79 = 160.74 : x
  2. Step 2: Convert to fraction form
    185.25/254.79 = 160.74/x
  3. Step 3: Cross multiply
    185.25x = 254.79 × 160.74
  4. Step 4: Simplify right side
    185.25x = 40,954.94
  5. Step 5: Solve for x
    x = 40,954.94/185.25
  6. Step 6: Final answer
    x = 221.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.