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Finding the Fourth Proportional to 421.41, 632.09 and 177.94

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Solution

The fourth proportional to 421.41, 632.09 and 177.94 is: 266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.41 : 632.09 = 177.94 : x
  2. Step 2: Convert to fraction form
    421.41/632.09 = 177.94/x
  3. Step 3: Cross multiply
    421.41x = 632.09 × 177.94
  4. Step 4: Simplify right side
    421.41x = 112,474.09
  5. Step 5: Solve for x
    x = 112,474.09/421.41
  6. Step 6: Final answer
    x = 266.90

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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.