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Finding the Fourth Proportional to 421.39, 632.10 and 147.50

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Solution

The fourth proportional to 421.39, 632.10 and 147.50 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.39 : 632.10 = 147.50 : x
  2. Step 2: Convert to fraction form
    421.39/632.10 = 147.50/x
  3. Step 3: Cross multiply
    421.39x = 632.10 × 147.50
  4. Step 4: Simplify right side
    421.39x = 93,234.75
  5. Step 5: Solve for x
    x = 93,234.75/421.39
  6. Step 6: Final answer
    x = 221.26

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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.