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Finding the Fourth Proportional to 306.17, 459.30 and 113.75

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Solution

The fourth proportional to 306.17, 459.30 and 113.75 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.17 : 459.30 = 113.75 : x
  2. Step 2: Convert to fraction form
    306.17/459.30 = 113.75/x
  3. Step 3: Cross multiply
    306.17x = 459.30 × 113.75
  4. Step 4: Simplify right side
    306.17x = 52,245.38
  5. Step 5: Solve for x
    x = 52,245.38/306.17
  6. Step 6: Final answer
    x = 170.64

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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.