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Finding the Fourth Proportional to 186.30, 257.24 and 167.00

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Solution

The fourth proportional to 186.30, 257.24 and 167.00 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 257.24 = 167.00 : x
  2. Step 2: Convert to fraction form
    186.30/257.24 = 167.00/x
  3. Step 3: Cross multiply
    186.30x = 257.24 × 167.00
  4. Step 4: Simplify right side
    186.30x = 42,958.21
  5. Step 5: Solve for x
    x = 42,958.21/186.30
  6. Step 6: Final answer
    x = 230.59

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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.