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Finding the Fourth Proportional to 306.69, 423.27 and 175.71

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Solution

The fourth proportional to 306.69, 423.27 and 175.71 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 423.27 = 175.71 : x
  2. Step 2: Convert to fraction form
    306.69/423.27 = 175.71/x
  3. Step 3: Cross multiply
    306.69x = 423.27 × 175.71
  4. Step 4: Simplify right side
    306.69x = 74,372.77
  5. Step 5: Solve for x
    x = 74,372.77/306.69
  6. Step 6: Final answer
    x = 242.50

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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.