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Finding the Fourth Proportional to 186.65, 257.46 and 112.92

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Solution

The fourth proportional to 186.65, 257.46 and 112.92 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 257.46 = 112.92 : x
  2. Step 2: Convert to fraction form
    186.65/257.46 = 112.92/x
  3. Step 3: Cross multiply
    186.65x = 257.46 × 112.92
  4. Step 4: Simplify right side
    186.65x = 29,072.38
  5. Step 5: Solve for x
    x = 29,072.38/186.65
  6. Step 6: Final answer
    x = 155.76

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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.