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Finding the Fourth Proportional to 306.06, 459.14 and 113.70

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Solution

The fourth proportional to 306.06, 459.14 and 113.70 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 459.14 = 113.70 : x
  2. Step 2: Convert to fraction form
    306.06/459.14 = 113.70/x
  3. Step 3: Cross multiply
    306.06x = 459.14 × 113.70
  4. Step 4: Simplify right side
    306.06x = 52,204.22
  5. Step 5: Solve for x
    x = 52,204.22/306.06
  6. Step 6: Final answer
    x = 170.57

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