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Finding the Fourth Proportional to 186.96, 257.78 and 165.94

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Solution

The fourth proportional to 186.96, 257.78 and 165.94 is: 228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 257.78 = 165.94 : x
  2. Step 2: Convert to fraction form
    186.96/257.78 = 165.94/x
  3. Step 3: Cross multiply
    186.96x = 257.78 × 165.94
  4. Step 4: Simplify right side
    186.96x = 42,774.72
  5. Step 5: Solve for x
    x = 42,774.72/186.96
  6. Step 6: Final answer
    x = 228.79

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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.