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Finding the Fourth Proportional to 162.23, 224.86 and 159.62

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Solution

The fourth proportional to 162.23, 224.86 and 159.62 is: 221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.23 : 224.86 = 159.62 : x
  2. Step 2: Convert to fraction form
    162.23/224.86 = 159.62/x
  3. Step 3: Cross multiply
    162.23x = 224.86 × 159.62
  4. Step 4: Simplify right side
    162.23x = 35,892.15
  5. Step 5: Solve for x
    x = 35,892.15/162.23
  6. Step 6: Final answer
    x = 221.24

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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.