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Finding the Fourth Proportional to 182.96, 252.70 and 141.65

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Solution

The fourth proportional to 182.96, 252.70 and 141.65 is: 195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.96 : 252.70 = 141.65 : x
  2. Step 2: Convert to fraction form
    182.96/252.70 = 141.65/x
  3. Step 3: Cross multiply
    182.96x = 252.70 × 141.65
  4. Step 4: Simplify right side
    182.96x = 35,793.69
  5. Step 5: Solve for x
    x = 35,793.69/182.96
  6. Step 6: Final answer
    x = 195.64

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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.