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Finding the Fourth Proportional to 186.96, 257.84 and 128.82

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Solution

The fourth proportional to 186.96, 257.84 and 128.82 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 257.84 = 128.82 : x
  2. Step 2: Convert to fraction form
    186.96/257.84 = 128.82/x
  3. Step 3: Cross multiply
    186.96x = 257.84 × 128.82
  4. Step 4: Simplify right side
    186.96x = 33,214.95
  5. Step 5: Solve for x
    x = 33,214.95/186.96
  6. Step 6: Final answer
    x = 177.66

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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.