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Finding the Fourth Proportional to 186.88, 257.83 and 162.28

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Solution

The fourth proportional to 186.88, 257.83 and 162.28 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 257.83 = 162.28 : x
  2. Step 2: Convert to fraction form
    186.88/257.83 = 162.28/x
  3. Step 3: Cross multiply
    186.88x = 257.83 × 162.28
  4. Step 4: Simplify right side
    186.88x = 41,840.65
  5. Step 5: Solve for x
    x = 41,840.65/186.88
  6. Step 6: Final answer
    x = 223.89

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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.