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Finding the Fourth Proportional to 187.88, 281.75 and 114.46

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Solution

The fourth proportional to 187.88, 281.75 and 114.46 is: 171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 281.75 = 114.46 : x
  2. Step 2: Convert to fraction form
    187.88/281.75 = 114.46/x
  3. Step 3: Cross multiply
    187.88x = 281.75 × 114.46
  4. Step 4: Simplify right side
    187.88x = 32,247.83
  5. Step 5: Solve for x
    x = 32,247.83/187.88
  6. Step 6: Final answer
    x = 171.65

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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.