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Finding the Fourth Proportional to 222.90, 334.52 and 145.85

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Solution

The fourth proportional to 222.90, 334.52 and 145.85 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.90 : 334.52 = 145.85 : x
  2. Step 2: Convert to fraction form
    222.90/334.52 = 145.85/x
  3. Step 3: Cross multiply
    222.90x = 334.52 × 145.85
  4. Step 4: Simplify right side
    222.90x = 48,788.43
  5. Step 5: Solve for x
    x = 48,788.43/222.90
  6. Step 6: Final answer
    x = 218.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.