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Finding the Fourth Proportional to 186.44, 257.46 and 151.88

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Solution

The fourth proportional to 186.44, 257.46 and 151.88 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.44 : 257.46 = 151.88 : x
  2. Step 2: Convert to fraction form
    186.44/257.46 = 151.88/x
  3. Step 3: Cross multiply
    186.44x = 257.46 × 151.88
  4. Step 4: Simplify right side
    186.44x = 39,103.02
  5. Step 5: Solve for x
    x = 39,103.02/186.44
  6. Step 6: Final answer
    x = 209.74

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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.