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Finding the Fourth Proportional to 214.96, 323.12 and 174.84

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Solution

The fourth proportional to 214.96, 323.12 and 174.84 is: 262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 323.12 = 174.84 : x
  2. Step 2: Convert to fraction form
    214.96/323.12 = 174.84/x
  3. Step 3: Cross multiply
    214.96x = 323.12 × 174.84
  4. Step 4: Simplify right side
    214.96x = 56,494.30
  5. Step 5: Solve for x
    x = 56,494.30/214.96
  6. Step 6: Final answer
    x = 262.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.