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Finding the Fourth Proportional to 306.53, 422.82 and 175.54

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Solution

The fourth proportional to 306.53, 422.82 and 175.54 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.53 : 422.82 = 175.54 : x
  2. Step 2: Convert to fraction form
    306.53/422.82 = 175.54/x
  3. Step 3: Cross multiply
    306.53x = 422.82 × 175.54
  4. Step 4: Simplify right side
    306.53x = 74,222.75
  5. Step 5: Solve for x
    x = 74,222.75/306.53
  6. Step 6: Final answer
    x = 242.14

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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.