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Finding the Fourth Proportional to 306.71, 423.27 and 175.73

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Solution

The fourth proportional to 306.71, 423.27 and 175.73 is: 242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.71 : 423.27 = 175.73 : x
  2. Step 2: Convert to fraction form
    306.71/423.27 = 175.73/x
  3. Step 3: Cross multiply
    306.71x = 423.27 × 175.73
  4. Step 4: Simplify right side
    306.71x = 74,381.24
  5. Step 5: Solve for x
    x = 74,381.24/306.71
  6. Step 6: Final answer
    x = 242.51

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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.