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Finding the Fourth Proportional to 222.31, 332.92 and 135.69

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Solution

The fourth proportional to 222.31, 332.92 and 135.69 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.31 : 332.92 = 135.69 : x
  2. Step 2: Convert to fraction form
    222.31/332.92 = 135.69/x
  3. Step 3: Cross multiply
    222.31x = 332.92 × 135.69
  4. Step 4: Simplify right side
    222.31x = 45,173.91
  5. Step 5: Solve for x
    x = 45,173.91/222.31
  6. Step 6: Final answer
    x = 203.20

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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.