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Finding the Fourth Proportional to 421.33, 632.03 and 147.39

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Solution

The fourth proportional to 421.33, 632.03 and 147.39 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.33 : 632.03 = 147.39 : x
  2. Step 2: Convert to fraction form
    421.33/632.03 = 147.39/x
  3. Step 3: Cross multiply
    421.33x = 632.03 × 147.39
  4. Step 4: Simplify right side
    421.33x = 93,157.54
  5. Step 5: Solve for x
    x = 93,157.54/421.33
  6. Step 6: Final answer
    x = 221.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.