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Finding the Fourth Proportional to 222.23, 306.52 and 175.52

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Solution

The fourth proportional to 222.23, 306.52 and 175.52 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.23 : 306.52 = 175.52 : x
  2. Step 2: Convert to fraction form
    222.23/306.52 = 175.52/x
  3. Step 3: Cross multiply
    222.23x = 306.52 × 175.52
  4. Step 4: Simplify right side
    222.23x = 53,800.72
  5. Step 5: Solve for x
    x = 53,800.72/222.23
  6. Step 6: Final answer
    x = 242.09

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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.