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Finding the Fourth Proportional to 187.79, 281.68 and 142.23

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Solution

The fourth proportional to 187.79, 281.68 and 142.23 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 281.68 = 142.23 : x
  2. Step 2: Convert to fraction form
    187.79/281.68 = 142.23/x
  3. Step 3: Cross multiply
    187.79x = 281.68 × 142.23
  4. Step 4: Simplify right side
    187.79x = 40,062.64
  5. Step 5: Solve for x
    x = 40,062.64/187.79
  6. Step 6: Final answer
    x = 213.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.