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Finding the Fourth Proportional to 421.54, 632.34 and 147.70

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Solution

The fourth proportional to 421.54, 632.34 and 147.70 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 632.34 = 147.70 : x
  2. Step 2: Convert to fraction form
    421.54/632.34 = 147.70/x
  3. Step 3: Cross multiply
    421.54x = 632.34 × 147.70
  4. Step 4: Simplify right side
    421.54x = 93,396.62
  5. Step 5: Solve for x
    x = 93,396.62/421.54
  6. Step 6: Final answer
    x = 221.56

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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.