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Finding the Fourth Proportional to 212.43, 291.59 and 188.60

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Solution

The fourth proportional to 212.43, 291.59 and 188.60 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 291.59 = 188.60 : x
  2. Step 2: Convert to fraction form
    212.43/291.59 = 188.60/x
  3. Step 3: Cross multiply
    212.43x = 291.59 × 188.60
  4. Step 4: Simplify right side
    212.43x = 54,993.87
  5. Step 5: Solve for x
    x = 54,993.87/212.43
  6. Step 6: Final answer
    x = 258.88

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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.