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Finding the Fourth Proportional to 222.53, 306.97 and 175.75

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Solution

The fourth proportional to 222.53, 306.97 and 175.75 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.53 : 306.97 = 175.75 : x
  2. Step 2: Convert to fraction form
    222.53/306.97 = 175.75/x
  3. Step 3: Cross multiply
    222.53x = 306.97 × 175.75
  4. Step 4: Simplify right side
    222.53x = 53,948.77
  5. Step 5: Solve for x
    x = 53,948.77/222.53
  6. Step 6: Final answer
    x = 242.44

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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.