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Finding the Fourth Proportional to 162.69, 224.26 and 144.24

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Solution

The fourth proportional to 162.69, 224.26 and 144.24 is: 198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.69 : 224.26 = 144.24 : x
  2. Step 2: Convert to fraction form
    162.69/224.26 = 144.24/x
  3. Step 3: Cross multiply
    162.69x = 224.26 × 144.24
  4. Step 4: Simplify right side
    162.69x = 32,347.26
  5. Step 5: Solve for x
    x = 32,347.26/162.69
  6. Step 6: Final answer
    x = 198.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.