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Finding the Fourth Proportional to 186.33, 257.00 and 130.39

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Solution

The fourth proportional to 186.33, 257.00 and 130.39 is: 179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.33 : 257.00 = 130.39 : x
  2. Step 2: Convert to fraction form
    186.33/257.00 = 130.39/x
  3. Step 3: Cross multiply
    186.33x = 257.00 × 130.39
  4. Step 4: Simplify right side
    186.33x = 33,508.94
  5. Step 5: Solve for x
    x = 33,508.94/186.33
  6. Step 6: Final answer
    x = 179.84

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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.