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Finding the Fourth Proportional to 187.94, 281.73 and 114.63

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Solution

The fourth proportional to 187.94, 281.73 and 114.63 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.94 : 281.73 = 114.63 : x
  2. Step 2: Convert to fraction form
    187.94/281.73 = 114.63/x
  3. Step 3: Cross multiply
    187.94x = 281.73 × 114.63
  4. Step 4: Simplify right side
    187.94x = 32,294.71
  5. Step 5: Solve for x
    x = 32,294.71/187.94
  6. Step 6: Final answer
    x = 171.84

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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.