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Finding the Fourth Proportional to 221.76, 332.64 and 77.52

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Solution

The fourth proportional to 221.76, 332.64 and 77.52 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.76 : 332.64 = 77.52 : x
  2. Step 2: Convert to fraction form
    221.76/332.64 = 77.52/x
  3. Step 3: Cross multiply
    221.76x = 332.64 × 77.52
  4. Step 4: Simplify right side
    221.76x = 25,786.25
  5. Step 5: Solve for x
    x = 25,786.25/221.76
  6. Step 6: Final answer
    x = 116.28

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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.