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Finding the Fourth Proportional to 186.49, 257.61 and 154.14

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Solution

The fourth proportional to 186.49, 257.61 and 154.14 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.49 : 257.61 = 154.14 : x
  2. Step 2: Convert to fraction form
    186.49/257.61 = 154.14/x
  3. Step 3: Cross multiply
    186.49x = 257.61 × 154.14
  4. Step 4: Simplify right side
    186.49x = 39,708.01
  5. Step 5: Solve for x
    x = 39,708.01/186.49
  6. Step 6: Final answer
    x = 212.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.