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Finding the Fourth Proportional to 221.99, 332.75 and 178.46

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Solution

The fourth proportional to 221.99, 332.75 and 178.46 is: 267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 332.75 = 178.46 : x
  2. Step 2: Convert to fraction form
    221.99/332.75 = 178.46/x
  3. Step 3: Cross multiply
    221.99x = 332.75 × 178.46
  4. Step 4: Simplify right side
    221.99x = 59,381.35
  5. Step 5: Solve for x
    x = 59,381.35/221.99
  6. Step 6: Final answer
    x = 267.49

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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.