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Finding the Fourth Proportional to 304.41, 456.65 and 121.78

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Solution

The fourth proportional to 304.41, 456.65 and 121.78 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 456.65 = 121.78 : x
  2. Step 2: Convert to fraction form
    304.41/456.65 = 121.78/x
  3. Step 3: Cross multiply
    304.41x = 456.65 × 121.78
  4. Step 4: Simplify right side
    304.41x = 55,610.84
  5. Step 5: Solve for x
    x = 55,610.84/304.41
  6. Step 6: Final answer
    x = 182.68

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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.