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Finding the Fourth Proportional to 161.51, 222.21 and 145.98

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Solution

The fourth proportional to 161.51, 222.21 and 145.98 is: 200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.51 : 222.21 = 145.98 : x
  2. Step 2: Convert to fraction form
    161.51/222.21 = 145.98/x
  3. Step 3: Cross multiply
    161.51x = 222.21 × 145.98
  4. Step 4: Simplify right side
    161.51x = 32,438.22
  5. Step 5: Solve for x
    x = 32,438.22/161.51
  6. Step 6: Final answer
    x = 200.85

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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.