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Finding the Fourth Proportional to 304.45, 456.33 and 121.63

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Solution

The fourth proportional to 304.45, 456.33 and 121.63 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 456.33 = 121.63 : x
  2. Step 2: Convert to fraction form
    304.45/456.33 = 121.63/x
  3. Step 3: Cross multiply
    304.45x = 456.33 × 121.63
  4. Step 4: Simplify right side
    304.45x = 55,503.42
  5. Step 5: Solve for x
    x = 55,503.42/304.45
  6. Step 6: Final answer
    x = 182.31

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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.