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Finding the Fourth Proportional to 187.36, 281.09 and 65.63

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Solution

The fourth proportional to 187.36, 281.09 and 65.63 is: 98.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 281.09 = 65.63 : x
  2. Step 2: Convert to fraction form
    187.36/281.09 = 65.63/x
  3. Step 3: Cross multiply
    187.36x = 281.09 × 65.63
  4. Step 4: Simplify right side
    187.36x = 18,446.20
  5. Step 5: Solve for x
    x = 18,446.20/187.36
  6. Step 6: Final answer
    x = 98.45

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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.