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Finding the Fourth Proportional to 306.45, 459.86 and 123.82

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Solution

The fourth proportional to 306.45, 459.86 and 123.82 is: 185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 459.86 = 123.82 : x
  2. Step 2: Convert to fraction form
    306.45/459.86 = 123.82/x
  3. Step 3: Cross multiply
    306.45x = 459.86 × 123.82
  4. Step 4: Simplify right side
    306.45x = 56,938.10
  5. Step 5: Solve for x
    x = 56,938.10/306.45
  6. Step 6: Final answer
    x = 185.80

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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.