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Finding the Fourth Proportional to 186.30, 254.88 and 185.49

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Solution

The fourth proportional to 186.30, 254.88 and 185.49 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 254.88 = 185.49 : x
  2. Step 2: Convert to fraction form
    186.30/254.88 = 185.49/x
  3. Step 3: Cross multiply
    186.30x = 254.88 × 185.49
  4. Step 4: Simplify right side
    186.30x = 47,277.69
  5. Step 5: Solve for x
    x = 47,277.69/186.30
  6. Step 6: Final answer
    x = 253.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.