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Finding the Fourth Proportional to 306.14, 459.30 and 113.78

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Solution

The fourth proportional to 306.14, 459.30 and 113.78 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 459.30 = 113.78 : x
  2. Step 2: Convert to fraction form
    306.14/459.30 = 113.78/x
  3. Step 3: Cross multiply
    306.14x = 459.30 × 113.78
  4. Step 4: Simplify right side
    306.14x = 52,259.15
  5. Step 5: Solve for x
    x = 52,259.15/306.14
  6. Step 6: Final answer
    x = 170.70

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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.