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Finding the Fourth Proportional to 162.26, 224.87 and 159.19

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Solution

The fourth proportional to 162.26, 224.87 and 159.19 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.26 : 224.87 = 159.19 : x
  2. Step 2: Convert to fraction form
    162.26/224.87 = 159.19/x
  3. Step 3: Cross multiply
    162.26x = 224.87 × 159.19
  4. Step 4: Simplify right side
    162.26x = 35,797.06
  5. Step 5: Solve for x
    x = 35,797.06/162.26
  6. Step 6: Final answer
    x = 220.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.