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Finding the Fourth Proportional to 186.69, 279.18 and 135.26

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Solution

The fourth proportional to 186.69, 279.18 and 135.26 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 279.18 = 135.26 : x
  2. Step 2: Convert to fraction form
    186.69/279.18 = 135.26/x
  3. Step 3: Cross multiply
    186.69x = 279.18 × 135.26
  4. Step 4: Simplify right side
    186.69x = 37,763.48
  5. Step 5: Solve for x
    x = 37,763.48/186.69
  6. Step 6: Final answer
    x = 202.28

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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.