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Finding the Fourth Proportional to 186.24, 257.60 and 171.84

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Solution

The fourth proportional to 186.24, 257.60 and 171.84 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 257.60 = 171.84 : x
  2. Step 2: Convert to fraction form
    186.24/257.60 = 171.84/x
  3. Step 3: Cross multiply
    186.24x = 257.60 × 171.84
  4. Step 4: Simplify right side
    186.24x = 44,265.98
  5. Step 5: Solve for x
    x = 44,265.98/186.24
  6. Step 6: Final answer
    x = 237.68

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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.