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Finding the Fourth Proportional to 306.12, 459.24 and 203.49

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Solution

The fourth proportional to 306.12, 459.24 and 203.49 is: 305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 459.24 = 203.49 : x
  2. Step 2: Convert to fraction form
    306.12/459.24 = 203.49/x
  3. Step 3: Cross multiply
    306.12x = 459.24 × 203.49
  4. Step 4: Simplify right side
    306.12x = 93,450.75
  5. Step 5: Solve for x
    x = 93,450.75/306.12
  6. Step 6: Final answer
    x = 305.27

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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.