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Finding the Fourth Proportional to 231.90, 320.10 and 182.99

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Solution

The fourth proportional to 231.90, 320.10 and 182.99 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 320.10 = 182.99 : x
  2. Step 2: Convert to fraction form
    231.90/320.10 = 182.99/x
  3. Step 3: Cross multiply
    231.90x = 320.10 × 182.99
  4. Step 4: Simplify right side
    231.90x = 58,573.50
  5. Step 5: Solve for x
    x = 58,573.50/231.90
  6. Step 6: Final answer
    x = 252.58

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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.