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Finding the Fourth Proportional to 304.72, 456.76 and 122

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Solution

The fourth proportional to 304.72, 456.76 and 122 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.72 : 456.76 = 122 : x
  2. Step 2: Convert to fraction form
    304.72/456.76 = 122/x
  3. Step 3: Cross multiply
    304.72x = 456.76 × 122
  4. Step 4: Simplify right side
    304.72x = 55,724.72
  5. Step 5: Solve for x
    x = 55,724.72/304.72
  6. Step 6: Final answer
    x = 182.87

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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.