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Finding the Fourth Proportional to 221.70, 332.54 and 208.34

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Solution

The fourth proportional to 221.70, 332.54 and 208.34 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 332.54 = 208.34 : x
  2. Step 2: Convert to fraction form
    221.70/332.54 = 208.34/x
  3. Step 3: Cross multiply
    221.70x = 332.54 × 208.34
  4. Step 4: Simplify right side
    221.70x = 69,280.71
  5. Step 5: Solve for x
    x = 69,280.71/221.70
  6. Step 6: Final answer
    x = 312.49

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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.