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Finding the Fourth Proportional to 214.21, 295.61 and 120.96

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Solution

The fourth proportional to 214.21, 295.61 and 120.96 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.21 : 295.61 = 120.96 : x
  2. Step 2: Convert to fraction form
    214.21/295.61 = 120.96/x
  3. Step 3: Cross multiply
    214.21x = 295.61 × 120.96
  4. Step 4: Simplify right side
    214.21x = 35,756.99
  5. Step 5: Solve for x
    x = 35,756.99/214.21
  6. Step 6: Final answer
    x = 166.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.