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Finding the Fourth Proportional to 186.45, 257.22 and 116.46

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Solution

The fourth proportional to 186.45, 257.22 and 116.46 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.45 : 257.22 = 116.46 : x
  2. Step 2: Convert to fraction form
    186.45/257.22 = 116.46/x
  3. Step 3: Cross multiply
    186.45x = 257.22 × 116.46
  4. Step 4: Simplify right side
    186.45x = 29,955.84
  5. Step 5: Solve for x
    x = 29,955.84/186.45
  6. Step 6: Final answer
    x = 160.66

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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.