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Finding the Fourth Proportional to 421.50, 632.13 and 147.54

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Solution

The fourth proportional to 421.50, 632.13 and 147.54 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.50 : 632.13 = 147.54 : x
  2. Step 2: Convert to fraction form
    421.50/632.13 = 147.54/x
  3. Step 3: Cross multiply
    421.50x = 632.13 × 147.54
  4. Step 4: Simplify right side
    421.50x = 93,264.46
  5. Step 5: Solve for x
    x = 93,264.46/421.50
  6. Step 6: Final answer
    x = 221.27

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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.