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Finding the Fourth Proportional to 222.32, 332.84 and 150.05

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Solution

The fourth proportional to 222.32, 332.84 and 150.05 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.32 : 332.84 = 150.05 : x
  2. Step 2: Convert to fraction form
    222.32/332.84 = 150.05/x
  3. Step 3: Cross multiply
    222.32x = 332.84 × 150.05
  4. Step 4: Simplify right side
    222.32x = 49,941.35
  5. Step 5: Solve for x
    x = 49,941.35/222.32
  6. Step 6: Final answer
    x = 224.64

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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.