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Finding the Fourth Proportional to 213.60, 321.60 and 188.09

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Solution

The fourth proportional to 213.60, 321.60 and 188.09 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 321.60 = 188.09 : x
  2. Step 2: Convert to fraction form
    213.60/321.60 = 188.09/x
  3. Step 3: Cross multiply
    213.60x = 321.60 × 188.09
  4. Step 4: Simplify right side
    213.60x = 60,489.74
  5. Step 5: Solve for x
    x = 60,489.74/213.60
  6. Step 6: Final answer
    x = 283.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.