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Finding the Fourth Proportional to 306.86, 459.84 and 162.68

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Solution

The fourth proportional to 306.86, 459.84 and 162.68 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.86 : 459.84 = 162.68 : x
  2. Step 2: Convert to fraction form
    306.86/459.84 = 162.68/x
  3. Step 3: Cross multiply
    306.86x = 459.84 × 162.68
  4. Step 4: Simplify right side
    306.86x = 74,806.77
  5. Step 5: Solve for x
    x = 74,806.77/306.86
  6. Step 6: Final answer
    x = 243.78

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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.