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Finding the Fourth Proportional to 188.56, 258.52 and 185.28

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Solution

The fourth proportional to 188.56, 258.52 and 185.28 is: 254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 258.52 = 185.28 : x
  2. Step 2: Convert to fraction form
    188.56/258.52 = 185.28/x
  3. Step 3: Cross multiply
    188.56x = 258.52 × 185.28
  4. Step 4: Simplify right side
    188.56x = 47,898.59
  5. Step 5: Solve for x
    x = 47,898.59/188.56
  6. Step 6: Final answer
    x = 254.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.