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Finding the Fourth Proportional to 306.89, 460.26 and 133.55

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Solution

The fourth proportional to 306.89, 460.26 and 133.55 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.89 : 460.26 = 133.55 : x
  2. Step 2: Convert to fraction form
    306.89/460.26 = 133.55/x
  3. Step 3: Cross multiply
    306.89x = 460.26 × 133.55
  4. Step 4: Simplify right side
    306.89x = 61,465.42
  5. Step 5: Solve for x
    x = 61,465.42/306.89
  6. Step 6: Final answer
    x = 200.29

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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.