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Finding the Fourth Proportional to 185.61, 275.31 and 182.88

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Solution

The fourth proportional to 185.61, 275.31 and 182.88 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.61 : 275.31 = 182.88 : x
  2. Step 2: Convert to fraction form
    185.61/275.31 = 182.88/x
  3. Step 3: Cross multiply
    185.61x = 275.31 × 182.88
  4. Step 4: Simplify right side
    185.61x = 50,346.40
  5. Step 5: Solve for x
    x = 50,346.40/185.61
  6. Step 6: Final answer
    x = 271.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.