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Finding the Fourth Proportional to 161.45, 221.88 and 145.25

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Solution

The fourth proportional to 161.45, 221.88 and 145.25 is: 199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.45 : 221.88 = 145.25 : x
  2. Step 2: Convert to fraction form
    161.45/221.88 = 145.25/x
  3. Step 3: Cross multiply
    161.45x = 221.88 × 145.25
  4. Step 4: Simplify right side
    161.45x = 32,228.07
  5. Step 5: Solve for x
    x = 32,228.07/161.45
  6. Step 6: Final answer
    x = 199.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.