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Finding the Fourth Proportional to 186.40, 257.24 and 120.02

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Solution

The fourth proportional to 186.40, 257.24 and 120.02 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.40 : 257.24 = 120.02 : x
  2. Step 2: Convert to fraction form
    186.40/257.24 = 120.02/x
  3. Step 3: Cross multiply
    186.40x = 257.24 × 120.02
  4. Step 4: Simplify right side
    186.40x = 30,873.94
  5. Step 5: Solve for x
    x = 30,873.94/186.40
  6. Step 6: Final answer
    x = 165.63

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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.