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Finding the Fourth Proportional to 304.65, 456.90 and 122.08

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Solution

The fourth proportional to 304.65, 456.90 and 122.08 is: 183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.65 : 456.90 = 122.08 : x
  2. Step 2: Convert to fraction form
    304.65/456.90 = 122.08/x
  3. Step 3: Cross multiply
    304.65x = 456.90 × 122.08
  4. Step 4: Simplify right side
    304.65x = 55,778.35
  5. Step 5: Solve for x
    x = 55,778.35/304.65
  6. Step 6: Final answer
    x = 183.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.