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Finding the Fourth Proportional to 306.41, 459.47 and 114.03

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Solution

The fourth proportional to 306.41, 459.47 and 114.03 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 459.47 = 114.03 : x
  2. Step 2: Convert to fraction form
    306.41/459.47 = 114.03/x
  3. Step 3: Cross multiply
    306.41x = 459.47 × 114.03
  4. Step 4: Simplify right side
    306.41x = 52,393.65
  5. Step 5: Solve for x
    x = 52,393.65/306.41
  6. Step 6: Final answer
    x = 170.99

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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.