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Finding the Fourth Proportional to 221.82, 303.92 and 213.63

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Solution

The fourth proportional to 221.82, 303.92 and 213.63 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.82 : 303.92 = 213.63 : x
  2. Step 2: Convert to fraction form
    221.82/303.92 = 213.63/x
  3. Step 3: Cross multiply
    221.82x = 303.92 × 213.63
  4. Step 4: Simplify right side
    221.82x = 64,925.36
  5. Step 5: Solve for x
    x = 64,925.36/221.82
  6. Step 6: Final answer
    x = 292.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.