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Finding the Fourth Proportional to 421.28, 632.22 and 190.16

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Solution

The fourth proportional to 421.28, 632.22 and 190.16 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.28 : 632.22 = 190.16 : x
  2. Step 2: Convert to fraction form
    421.28/632.22 = 190.16/x
  3. Step 3: Cross multiply
    421.28x = 632.22 × 190.16
  4. Step 4: Simplify right side
    421.28x = 120,222.96
  5. Step 5: Solve for x
    x = 120,222.96/421.28
  6. Step 6: Final answer
    x = 285.38

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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.