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Finding the Fourth Proportional to 306.82, 459.75 and 185.14

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Solution

The fourth proportional to 306.82, 459.75 and 185.14 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 459.75 = 185.14 : x
  2. Step 2: Convert to fraction form
    306.82/459.75 = 185.14/x
  3. Step 3: Cross multiply
    306.82x = 459.75 × 185.14
  4. Step 4: Simplify right side
    306.82x = 85,118.12
  5. Step 5: Solve for x
    x = 85,118.12/306.82
  6. Step 6: Final answer
    x = 277.42

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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.