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Finding the Fourth Proportional to 221.64, 330.69 and 208.50

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Solution

The fourth proportional to 221.64, 330.69 and 208.50 is: 311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 330.69 = 208.50 : x
  2. Step 2: Convert to fraction form
    221.64/330.69 = 208.50/x
  3. Step 3: Cross multiply
    221.64x = 330.69 × 208.50
  4. Step 4: Simplify right side
    221.64x = 68,948.87
  5. Step 5: Solve for x
    x = 68,948.87/221.64
  6. Step 6: Final answer
    x = 311.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.