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Finding the Fourth Proportional to 161, 222.58 and 154.20

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Solution

The fourth proportional to 161, 222.58 and 154.20 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 222.58 = 154.20 : x
  2. Step 2: Convert to fraction form
    161/222.58 = 154.20/x
  3. Step 3: Cross multiply
    161x = 222.58 × 154.20
  4. Step 4: Simplify right side
    161x = 34,321.84
  5. Step 5: Solve for x
    x = 34,321.84/161
  6. Step 6: Final answer
    x = 213.18

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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.