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Finding the Fourth Proportional to 222.87, 333.68 and 145.64

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Solution

The fourth proportional to 222.87, 333.68 and 145.64 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 333.68 = 145.64 : x
  2. Step 2: Convert to fraction form
    222.87/333.68 = 145.64/x
  3. Step 3: Cross multiply
    222.87x = 333.68 × 145.64
  4. Step 4: Simplify right side
    222.87x = 48,595.85
  5. Step 5: Solve for x
    x = 48,595.85/222.87
  6. Step 6: Final answer
    x = 218.05

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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.