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Finding the Fourth Proportional to 304.09, 456.20 and 98.80

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Solution

The fourth proportional to 304.09, 456.20 and 98.80 is: 148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 456.20 = 98.80 : x
  2. Step 2: Convert to fraction form
    304.09/456.20 = 98.80/x
  3. Step 3: Cross multiply
    304.09x = 456.20 × 98.80
  4. Step 4: Simplify right side
    304.09x = 45,072.56
  5. Step 5: Solve for x
    x = 45,072.56/304.09
  6. Step 6: Final answer
    x = 148.22

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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.