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Finding the Fourth Proportional to 421.32, 632.09 and 147.41

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Solution

The fourth proportional to 421.32, 632.09 and 147.41 is: 221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 632.09 = 147.41 : x
  2. Step 2: Convert to fraction form
    421.32/632.09 = 147.41/x
  3. Step 3: Cross multiply
    421.32x = 632.09 × 147.41
  4. Step 4: Simplify right side
    421.32x = 93,176.39
  5. Step 5: Solve for x
    x = 93,176.39/421.32
  6. Step 6: Final answer
    x = 221.15

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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.