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Finding the Fourth Proportional to 222.05, 306.07 and 175.34

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Solution

The fourth proportional to 222.05, 306.07 and 175.34 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 306.07 = 175.34 : x
  2. Step 2: Convert to fraction form
    222.05/306.07 = 175.34/x
  3. Step 3: Cross multiply
    222.05x = 306.07 × 175.34
  4. Step 4: Simplify right side
    222.05x = 53,666.64
  5. Step 5: Solve for x
    x = 53,666.64/222.05
  6. Step 6: Final answer
    x = 241.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.