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Finding the Fourth Proportional to 162.49, 224.41 and 123.34

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Solution

The fourth proportional to 162.49, 224.41 and 123.34 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 224.41 = 123.34 : x
  2. Step 2: Convert to fraction form
    162.49/224.41 = 123.34/x
  3. Step 3: Cross multiply
    162.49x = 224.41 × 123.34
  4. Step 4: Simplify right side
    162.49x = 27,677.61
  5. Step 5: Solve for x
    x = 27,677.61/162.49
  6. Step 6: Final answer
    x = 170.34

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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.