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Finding the Fourth Proportional to 186.27, 277.52 and 177.09

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Solution

The fourth proportional to 186.27, 277.52 and 177.09 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.27 : 277.52 = 177.09 : x
  2. Step 2: Convert to fraction form
    186.27/277.52 = 177.09/x
  3. Step 3: Cross multiply
    186.27x = 277.52 × 177.09
  4. Step 4: Simplify right side
    186.27x = 49,145.13
  5. Step 5: Solve for x
    x = 49,145.13/186.27
  6. Step 6: Final answer
    x = 263.84

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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.