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Finding the Fourth Proportional to 423.19, 634.49 and 162.97

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Solution

The fourth proportional to 423.19, 634.49 and 162.97 is: 244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 634.49 = 162.97 : x
  2. Step 2: Convert to fraction form
    423.19/634.49 = 162.97/x
  3. Step 3: Cross multiply
    423.19x = 634.49 × 162.97
  4. Step 4: Simplify right side
    423.19x = 103,402.81
  5. Step 5: Solve for x
    x = 103,402.81/423.19
  6. Step 6: Final answer
    x = 244.34

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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.