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Finding the Fourth Proportional to 186.56, 257.68 and 128.48

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Solution

The fourth proportional to 186.56, 257.68 and 128.48 is: 177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.68 = 128.48 : x
  2. Step 2: Convert to fraction form
    186.56/257.68 = 128.48/x
  3. Step 3: Cross multiply
    186.56x = 257.68 × 128.48
  4. Step 4: Simplify right side
    186.56x = 33,106.73
  5. Step 5: Solve for x
    x = 33,106.73/186.56
  6. Step 6: Final answer
    x = 177.46

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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.