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Finding the Fourth Proportional to 421.69, 632.53 and 147.86

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Solution

The fourth proportional to 421.69, 632.53 and 147.86 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 632.53 = 147.86 : x
  2. Step 2: Convert to fraction form
    421.69/632.53 = 147.86/x
  3. Step 3: Cross multiply
    421.69x = 632.53 × 147.86
  4. Step 4: Simplify right side
    421.69x = 93,522.35
  5. Step 5: Solve for x
    x = 93,522.35/421.69
  6. Step 6: Final answer
    x = 221.78

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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.