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Finding the Fourth Proportional to 214.31, 295.36 and 165.10

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Solution

The fourth proportional to 214.31, 295.36 and 165.10 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 295.36 = 165.10 : x
  2. Step 2: Convert to fraction form
    214.31/295.36 = 165.10/x
  3. Step 3: Cross multiply
    214.31x = 295.36 × 165.10
  4. Step 4: Simplify right side
    214.31x = 48,763.94
  5. Step 5: Solve for x
    x = 48,763.94/214.31
  6. Step 6: Final answer
    x = 227.54

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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.