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Finding the Fourth Proportional to 186.56, 257.58 and 128.42

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Solution

The fourth proportional to 186.56, 257.58 and 128.42 is: 177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.58 = 128.42 : x
  2. Step 2: Convert to fraction form
    186.56/257.58 = 128.42/x
  3. Step 3: Cross multiply
    186.56x = 257.58 × 128.42
  4. Step 4: Simplify right side
    186.56x = 33,078.42
  5. Step 5: Solve for x
    x = 33,078.42/186.56
  6. Step 6: Final answer
    x = 177.31

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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.