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Finding the Fourth Proportional to 304.55, 456.87 and 122.06

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Solution

The fourth proportional to 304.55, 456.87 and 122.06 is: 183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.55 : 456.87 = 122.06 : x
  2. Step 2: Convert to fraction form
    304.55/456.87 = 122.06/x
  3. Step 3: Cross multiply
    304.55x = 456.87 × 122.06
  4. Step 4: Simplify right side
    304.55x = 55,766.69
  5. Step 5: Solve for x
    x = 55,766.69/304.55
  6. Step 6: Final answer
    x = 183.11

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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.