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Finding the Fourth Proportional to 186.99, 257.58 and 178.17

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Solution

The fourth proportional to 186.99, 257.58 and 178.17 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.99 : 257.58 = 178.17 : x
  2. Step 2: Convert to fraction form
    186.99/257.58 = 178.17/x
  3. Step 3: Cross multiply
    186.99x = 257.58 × 178.17
  4. Step 4: Simplify right side
    186.99x = 45,893.03
  5. Step 5: Solve for x
    x = 45,893.03/186.99
  6. Step 6: Final answer
    x = 245.43

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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.