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Finding the Fourth Proportional to 632.82, 948.94 and 221.96

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Solution

The fourth proportional to 632.82, 948.94 and 221.96 is: 332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.82 : 948.94 = 221.96 : x
  2. Step 2: Convert to fraction form
    632.82/948.94 = 221.96/x
  3. Step 3: Cross multiply
    632.82x = 948.94 × 221.96
  4. Step 4: Simplify right side
    632.82x = 210,626.72
  5. Step 5: Solve for x
    x = 210,626.72/632.82
  6. Step 6: Final answer
    x = 332.84

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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.