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Finding the Fourth Proportional to 222.64, 334.08 and 136.16

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Solution

The fourth proportional to 222.64, 334.08 and 136.16 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 334.08 = 136.16 : x
  2. Step 2: Convert to fraction form
    222.64/334.08 = 136.16/x
  3. Step 3: Cross multiply
    222.64x = 334.08 × 136.16
  4. Step 4: Simplify right side
    222.64x = 45,488.33
  5. Step 5: Solve for x
    x = 45,488.33/222.64
  6. Step 6: Final answer
    x = 204.31

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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.