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Finding the Fourth Proportional to 185.22, 253.76 and 178.30

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Solution

The fourth proportional to 185.22, 253.76 and 178.30 is: 244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 253.76 = 178.30 : x
  2. Step 2: Convert to fraction form
    185.22/253.76 = 178.30/x
  3. Step 3: Cross multiply
    185.22x = 253.76 × 178.30
  4. Step 4: Simplify right side
    185.22x = 45,244.52
  5. Step 5: Solve for x
    x = 45,244.52/185.22
  6. Step 6: Final answer
    x = 244.27

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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.