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Finding the Fourth Proportional to 186.53, 257.22 and 120.92

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Solution

The fourth proportional to 186.53, 257.22 and 120.92 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 257.22 = 120.92 : x
  2. Step 2: Convert to fraction form
    186.53/257.22 = 120.92/x
  3. Step 3: Cross multiply
    186.53x = 257.22 × 120.92
  4. Step 4: Simplify right side
    186.53x = 31,101.76
  5. Step 5: Solve for x
    x = 31,101.76/186.53
  6. Step 6: Final answer
    x = 166.74

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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.