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Finding the Fourth Proportional to 186.34, 277.91 and 180.27

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Solution

The fourth proportional to 186.34, 277.91 and 180.27 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 277.91 = 180.27 : x
  2. Step 2: Convert to fraction form
    186.34/277.91 = 180.27/x
  3. Step 3: Cross multiply
    186.34x = 277.91 × 180.27
  4. Step 4: Simplify right side
    186.34x = 50,098.84
  5. Step 5: Solve for x
    x = 50,098.84/186.34
  6. Step 6: Final answer
    x = 268.86

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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.