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Finding the Fourth Proportional to 222.12, 333.36 and 176.88

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Solution

The fourth proportional to 222.12, 333.36 and 176.88 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 333.36 = 176.88 : x
  2. Step 2: Convert to fraction form
    222.12/333.36 = 176.88/x
  3. Step 3: Cross multiply
    222.12x = 333.36 × 176.88
  4. Step 4: Simplify right side
    222.12x = 58,964.72
  5. Step 5: Solve for x
    x = 58,964.72/222.12
  6. Step 6: Final answer
    x = 265.46

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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.