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Finding the Fourth Proportional to 186.66, 257.38 and 131.38

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Solution

The fourth proportional to 186.66, 257.38 and 131.38 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 257.38 = 131.38 : x
  2. Step 2: Convert to fraction form
    186.66/257.38 = 131.38/x
  3. Step 3: Cross multiply
    186.66x = 257.38 × 131.38
  4. Step 4: Simplify right side
    186.66x = 33,814.58
  5. Step 5: Solve for x
    x = 33,814.58/186.66
  6. Step 6: Final answer
    x = 181.16

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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.