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Finding the Fourth Proportional to 186.37, 277.44 and 177.53

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Solution

The fourth proportional to 186.37, 277.44 and 177.53 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.37 : 277.44 = 177.53 : x
  2. Step 2: Convert to fraction form
    186.37/277.44 = 177.53/x
  3. Step 3: Cross multiply
    186.37x = 277.44 × 177.53
  4. Step 4: Simplify right side
    186.37x = 49,251.87
  5. Step 5: Solve for x
    x = 49,251.87/186.37
  6. Step 6: Final answer
    x = 264.27

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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.