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Finding the Fourth Proportional to 186.46, 256.97 and 165.70

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Solution

The fourth proportional to 186.46, 256.97 and 165.70 is: 228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 256.97 = 165.70 : x
  2. Step 2: Convert to fraction form
    186.46/256.97 = 165.70/x
  3. Step 3: Cross multiply
    186.46x = 256.97 × 165.70
  4. Step 4: Simplify right side
    186.46x = 42,580.66
  5. Step 5: Solve for x
    x = 42,580.66/186.46
  6. Step 6: Final answer
    x = 228.37

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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.