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Finding the Fourth Proportional to 306.62, 460.20 and 189.57

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Solution

The fourth proportional to 306.62, 460.20 and 189.57 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.62 : 460.20 = 189.57 : x
  2. Step 2: Convert to fraction form
    306.62/460.20 = 189.57/x
  3. Step 3: Cross multiply
    306.62x = 460.20 × 189.57
  4. Step 4: Simplify right side
    306.62x = 87,240.11
  5. Step 5: Solve for x
    x = 87,240.11/306.62
  6. Step 6: Final answer
    x = 284.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.