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Finding the Fourth Proportional to 186.11, 277.41 and 174.36

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Solution

The fourth proportional to 186.11, 277.41 and 174.36 is: 259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.11 : 277.41 = 174.36 : x
  2. Step 2: Convert to fraction form
    186.11/277.41 = 174.36/x
  3. Step 3: Cross multiply
    186.11x = 277.41 × 174.36
  4. Step 4: Simplify right side
    186.11x = 48,369.21
  5. Step 5: Solve for x
    x = 48,369.21/186.11
  6. Step 6: Final answer
    x = 259.90

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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.