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Finding the Fourth Proportional to 186.56, 257.46 and 128.24

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Solution

The fourth proportional to 186.56, 257.46 and 128.24 is: 176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.46 = 128.24 : x
  2. Step 2: Convert to fraction form
    186.56/257.46 = 128.24/x
  3. Step 3: Cross multiply
    186.56x = 257.46 × 128.24
  4. Step 4: Simplify right side
    186.56x = 33,016.67
  5. Step 5: Solve for x
    x = 33,016.67/186.56
  6. Step 6: Final answer
    x = 176.98

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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.