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Finding the Fourth Proportional to 306.27, 459.35 and 159.86

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Solution

The fourth proportional to 306.27, 459.35 and 159.86 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.27 : 459.35 = 159.86 : x
  2. Step 2: Convert to fraction form
    306.27/459.35 = 159.86/x
  3. Step 3: Cross multiply
    306.27x = 459.35 × 159.86
  4. Step 4: Simplify right side
    306.27x = 73,431.54
  5. Step 5: Solve for x
    x = 73,431.54/306.27
  6. Step 6: Final answer
    x = 239.76

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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.