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Finding the Fourth Proportional to 186.24, 257.31 and 165.54

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Solution

The fourth proportional to 186.24, 257.31 and 165.54 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 257.31 = 165.54 : x
  2. Step 2: Convert to fraction form
    186.24/257.31 = 165.54/x
  3. Step 3: Cross multiply
    186.24x = 257.31 × 165.54
  4. Step 4: Simplify right side
    186.24x = 42,595.10
  5. Step 5: Solve for x
    x = 42,595.10/186.24
  6. Step 6: Final answer
    x = 228.71

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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.