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Finding the Fourth Proportional to 224.13, 309.44 and 162.17

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Solution

The fourth proportional to 224.13, 309.44 and 162.17 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 309.44 = 162.17 : x
  2. Step 2: Convert to fraction form
    224.13/309.44 = 162.17/x
  3. Step 3: Cross multiply
    224.13x = 309.44 × 162.17
  4. Step 4: Simplify right side
    224.13x = 50,180.74
  5. Step 5: Solve for x
    x = 50,180.74/224.13
  6. Step 6: Final answer
    x = 223.89

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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.