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Finding the Fourth Proportional to 306.61, 459.78 and 133.27

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Solution

The fourth proportional to 306.61, 459.78 and 133.27 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 459.78 = 133.27 : x
  2. Step 2: Convert to fraction form
    306.61/459.78 = 133.27/x
  3. Step 3: Cross multiply
    306.61x = 459.78 × 133.27
  4. Step 4: Simplify right side
    306.61x = 61,274.88
  5. Step 5: Solve for x
    x = 61,274.88/306.61
  6. Step 6: Final answer
    x = 199.85

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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.