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Finding the Fourth Proportional to 421.46, 632.26 and 132.88

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Solution

The fourth proportional to 421.46, 632.26 and 132.88 is: 199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 632.26 = 132.88 : x
  2. Step 2: Convert to fraction form
    421.46/632.26 = 132.88/x
  3. Step 3: Cross multiply
    421.46x = 632.26 × 132.88
  4. Step 4: Simplify right side
    421.46x = 84,011.55
  5. Step 5: Solve for x
    x = 84,011.55/421.46
  6. Step 6: Final answer
    x = 199.33

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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.