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Finding the Fourth Proportional to 234.60, 323.10 and 213

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Solution

The fourth proportional to 234.60, 323.10 and 213 is: 293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 323.10 = 213 : x
  2. Step 2: Convert to fraction form
    234.60/323.10 = 213/x
  3. Step 3: Cross multiply
    234.60x = 323.10 × 213
  4. Step 4: Simplify right side
    234.60x = 68,820.30
  5. Step 5: Solve for x
    x = 68,820.30/234.60
  6. Step 6: Final answer
    x = 293.35

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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.