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Finding the Fourth Proportional to 186.13, 256.97 and 128.08

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Solution

The fourth proportional to 186.13, 256.97 and 128.08 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 256.97 = 128.08 : x
  2. Step 2: Convert to fraction form
    186.13/256.97 = 128.08/x
  3. Step 3: Cross multiply
    186.13x = 256.97 × 128.08
  4. Step 4: Simplify right side
    186.13x = 32,912.72
  5. Step 5: Solve for x
    x = 32,912.72/186.13
  6. Step 6: Final answer
    x = 176.83

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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.