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Finding the Fourth Proportional to 222.57, 335.09 and 174.08

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Solution

The fourth proportional to 222.57, 335.09 and 174.08 is: 262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.57 : 335.09 = 174.08 : x
  2. Step 2: Convert to fraction form
    222.57/335.09 = 174.08/x
  3. Step 3: Cross multiply
    222.57x = 335.09 × 174.08
  4. Step 4: Simplify right side
    222.57x = 58,331.81
  5. Step 5: Solve for x
    x = 58,331.81/222.57
  6. Step 6: Final answer
    x = 262.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.