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Finding the Fourth Proportional to 186.37, 256.83 and 150.86

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Solution

The fourth proportional to 186.37, 256.83 and 150.86 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.37 : 256.83 = 150.86 : x
  2. Step 2: Convert to fraction form
    186.37/256.83 = 150.86/x
  3. Step 3: Cross multiply
    186.37x = 256.83 × 150.86
  4. Step 4: Simplify right side
    186.37x = 38,745.37
  5. Step 5: Solve for x
    x = 38,745.37/186.37
  6. Step 6: Final answer
    x = 207.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.