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Finding the Fourth Proportional to 162.73, 224.04 and 138.16

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Solution

The fourth proportional to 162.73, 224.04 and 138.16 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.73 : 224.04 = 138.16 : x
  2. Step 2: Convert to fraction form
    162.73/224.04 = 138.16/x
  3. Step 3: Cross multiply
    162.73x = 224.04 × 138.16
  4. Step 4: Simplify right side
    162.73x = 30,953.37
  5. Step 5: Solve for x
    x = 30,953.37/162.73
  6. Step 6: Final answer
    x = 190.21

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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.