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Finding the Fourth Proportional to 186.76, 279.87 and 90.37

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Solution

The fourth proportional to 186.76, 279.87 and 90.37 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 279.87 = 90.37 : x
  2. Step 2: Convert to fraction form
    186.76/279.87 = 90.37/x
  3. Step 3: Cross multiply
    186.76x = 279.87 × 90.37
  4. Step 4: Simplify right side
    186.76x = 25,291.85
  5. Step 5: Solve for x
    x = 25,291.85/186.76
  6. Step 6: Final answer
    x = 135.42

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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.