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Finding the Fourth Proportional to 221.04, 332.18 and 212.96

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Solution

The fourth proportional to 221.04, 332.18 and 212.96 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.04 : 332.18 = 212.96 : x
  2. Step 2: Convert to fraction form
    221.04/332.18 = 212.96/x
  3. Step 3: Cross multiply
    221.04x = 332.18 × 212.96
  4. Step 4: Simplify right side
    221.04x = 70,741.05
  5. Step 5: Solve for x
    x = 70,741.05/221.04
  6. Step 6: Final answer
    x = 320.04

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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.