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Finding the Fourth Proportional to 189.08, 281.80 and 187.49

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Solution

The fourth proportional to 189.08, 281.80 and 187.49 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.08 : 281.80 = 187.49 : x
  2. Step 2: Convert to fraction form
    189.08/281.80 = 187.49/x
  3. Step 3: Cross multiply
    189.08x = 281.80 × 187.49
  4. Step 4: Simplify right side
    189.08x = 52,835.36
  5. Step 5: Solve for x
    x = 52,835.36/189.08
  6. Step 6: Final answer
    x = 279.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.